1. HOME
  2. MATH
  3. PreCalculus™

MATH Courses for School GPA STARPREP® MATHEMATICS PROGRAMSPreCalculus™

Pre-Calculus, as its name indicates, is designed to prepare you for Calculus, either in high school or college. Topics include understanding algebraic and polynomial functions, exponential and logarithmic functions, and conic sections. Students will also study applications of trigonometry, trigonometric identities and equations, mathematical induction, and the concept of limits. In addition to content mastery, the course goals are to further develop students’ problem solving and critical thinking skills. The difficulty level of the material increases significantly throughout the semester. Students should be prepared to be challenged and work hard. Students are encouraged to form study groups with peers, practicing beyond daily assignments in an effort to master skills

AP PreCalculus™

STARPREP®에서 제공하는 AP Precalculus™, High School 프로그램은
Boosting GPA for School Exams 내신성적 향상수업과 GPA Boost for Concepts 개념위주 수업
을 제공하며 학생 요구(Needs)에 따라 최적의 수업진행을 선택할 수 있습니다.

[학생의 성적/수업 이해도에 따라 수업이 진행됩니다.]

for Graders 9-11
(STARPREP® course code: PRECA)

Professor
Myung-Soo Go
University of Virginia, BS
Johns Hopkins University, MS
석사 학위 취득
Mathematics Expert 수학전문강사 5년 이상 경력

Professor
Seongyoon Hong
Seoul National University BS
Seoul National University 석사 졸업
Seoul National University Ph.D. 수료
Mathematics Expert 수학전문강사 6년 이상 경력

Professor
SooHyun
Seoul National University
서울대학교 이학학사
Mathematics Expert 수학전문강사 경력

Professor
Min-Jae Kim
Yonsei University
연세대학교 이학학사
Mathematics Expert 수학전문강사 경력

Professor
Jerome Lee, Ph.D.
MIT RSI Representative (2012-2022) 11년 역임
MIT Mathematical Physics 전공
KAIST 공학 박사학위 취득
Private Tutoring 20+년 경력

Registration Board

AP PreCalculus™

  • Lecture Dates/Registration Status
  • June 17 - August 23, 2024
    Mon/Wed/Fri
    2:00pm-5:00pm

    ★Registration Status★ OPEN Registration Form 등록 신청서
  • Precalculus™
  • Course Code/Professor(Alma Mater)
  • STARPREP® COURSE CODE : PRECA-01

    ★ Precalculus™ GPA-Boosting Course ★
    학교 내신점수향상 대비반

    Next semester's advanced class
    prepares for a semester's worth of lessons in advance during the vacation period.
    All classes adjust the pace of the lessons according to the students' levels.
    As they are conducted on an individual progress basis, the total number of students per class is limited to six.
    You can take classes for as long as you are able to.
  • Features/Legacy
  • ★GPA BOOST & SIGNATURE LESSON★

    Precalculus™ 내신성적향상 수업

    ImproveMyGPA™
    Students' Satisfaction : above 99%

    Optimizing Concurrent Classrooms
    (In the Classroom And Online Simultaneously)
  • Precalculus™
  • Lecture Dates/Registration Status
  • June 17 - August 23, 2024
    Tue/Thurs
    2:00pm-5:00pm

    ★Registration Status★ OPEN Registration Form 등록 신청서
  • Precalculus™
  • Course Code/Professor(Alma Mater)
  • STARPREP® COURSE CODE : PRECA-02

    ★ Precalculus™ GPA-Boosting Course ★
    학교 내신점수향상 대비반

    Next semester's advanced class
    prepares for a semester's worth of lessons in advance during the vacation period.
    All classes adjust the pace of the lessons according to the students' levels.
    As they are conducted on an individual progress basis, the total number of students per class is limited to six.
    You can take classes for as long as you are able to.
  • Features/Legacy
  • ★GPA BOOST & SIGNATURE LESSON★

    Precalculus™ 내신성적향상 수업

    ImproveMyGPA™
    Students' Satisfaction : above 99%

    Optimizing Concurrent Classrooms
    (In the Classroom And Online Simultaneously)
  • Precalculus™
  • Lecture Dates/Registration Status
  • June 17 - August 23, 2024
    Monday-Friday
    2:00pm-5:00pm

    ★Registration Status★ OPEN Registration Form 등록 신청서
  • Precalculus™
  • Course Code/Professor(Alma Mater)
  • STARPREP® COURSE CODE : PRECA-03

    ★ Precalculus™ GPA-Boosting Course ★
    학교 내신점수향상 대비반

    Next semester's advanced class
    prepares for a semester's worth of lessons in advance during the vacation period.
    All classes adjust the pace of the lessons according to the students' levels.
    As they are conducted on an individual progress basis, the total number of students per class is limited to six.
    You can take classes for as long as you are able to.
  • Features/Legacy
  • ★GPA BOOST & SIGNATURE LESSON★

    Precalculus™ 내신성적향상 수업

    ImproveMyGPA™
    Students' Satisfaction : above 99%

    Optimizing Concurrent Classrooms
    (In the Classroom And Online Simultaneously)
  • Precalculus™
  • Lecture Dates/Registration Status
  • June 24 - August 2, 2024
    Mon/Wed/Fri
    2:00pm-5:00pm

    ★Registration Status★ OPEN Registration Form 등록 신청서
  • Precalculus™
  • Course Code/Professor(Alma Mater)
  • STARPREP® COURSE CODE : PRECA-04

    ★ Precalculus™ GPA-Boosting Course ★
    학교 내신점수향상 대비반

    Next semester's advanced class
    prepares for a semester's worth of lessons in advance during the vacation period.
    All classes adjust the pace of the lessons according to the students' levels.
    As they are conducted on an individual progress basis, the total number of students per class is limited to six.
    You can take classes for as long as you are able to.
  • Features/Legacy
  • ★GPA BOOST & SIGNATURE LESSON★

    Precalculus™ 내신성적향상 수업

    ImproveMyGPA™
    Students' Satisfaction : above 99%

    Optimizing Concurrent Classrooms
    (In the Classroom And Online Simultaneously)
  • Precalculus™
  • Course Code/Professor(Alma Mater)
  • STARPREP® COURSE CODE : PRECA-05

    ★ Precalculus™ GPA-Boosting Course ★

    학교 내신점수향상 대비반

    Next semester's advanced class
    prepares for a semester's worth of lessons in advance during the vacation period.
    All classes adjust the pace of the lessons according to the students' levels.
    As they are conducted on an individual progress basis, the total number of students per class is limited to six.
    You can take classes for as long as you are able to.
  • Features/Legacy
  • ★GPA BOOST & SIGNATURE LESSON★

    Precalculus™ 내신성적향상 수업

    ImproveMyGPA™
    Students' Satisfaction : above 99%

    Optimizing Concurrent Classrooms
    (In the Classroom And Online Simultaneously)
  • Precalculus™
  • Course Code/Professor(Alma Mater)
  • STARPREP® COURSE CODE : PRECA-06

    ★ Precalculus™ GPA-Boosting Course ★

    학교 내신점수향상 대비반

    Next semester's advanced class
    prepares for a semester's worth of lessons in advance during the vacation period.
    All classes adjust the pace of the lessons according to the students' levels.
    As they are conducted on an individual progress basis, the total number of students per class is limited to six.
    You can take classes for as long as you are able to.
  • Features/Legacy
  • ★GPA BOOST & SIGNATURE LESSON★

    Precalculus™ 내신성적향상 수업

    ImproveMyGPA™
    Students' Satisfaction : above 99%

    Optimizing Concurrent Classrooms
    (In the Classroom And Online Simultaneously)
  • Precalculus™
  • Course Code/Professor(Alma Mater)
  • STARPREP® COURSE CODE : PRECA-07

    ★ Precalculus™ GPA-Boosting Course ★

    학교 내신점수향상 대비반

    Next semester's advanced class
    prepares for a semester's worth of lessons in advance during the vacation period.
    All classes adjust the pace of the lessons according to the students' levels.
    As they are conducted on an individual progress basis, the total number of students per class is limited to six.
    You can take classes for as long as you are able to.
  • Features/Legacy
  • ★GPA BOOST & SIGNATURE LESSON★

    Precalculus™ 내신성적향상 수업

    ImproveMyGPA™
    Students' Satisfaction : above 99%

    Optimizing Concurrent Classrooms
    (In the Classroom And Online Simultaneously)
  • Precalculus™
  • Lecture Type/Registration Status
  • throughout the year
    1:1 Tutoring Online/In-person
    Schedule is flexible

    ★Registration Status★ OPEN Registration Form 등록 신청서
  • Precalculus™
  • Course Code/Professor(Alma Mater)
  • STARPREP® COURSE CODE : PRECA-08

    ★ Precalculus™ GPA-Boosting Course ★
    학교 내신점수향상 대비반

    Next semester's advanced class
    prepares for a semester's worth of lessons in advance during the vacation period.
    All classes adjust the pace of the lessons according to the students' levels.
    You can take classes for as long as you are able to.
  • Features/Legacy
  • ★GPA BOOST & SIGNATURE LESSON★

    Precalculus™ 내신성적향상 수업

    ImproveMyGPA™
    Students' Satisfaction : above 99%

    Optimizing Concurrent Classrooms
    (In the Classroom And Online Simultaneously)
  • Precalculus™
Lecture Dates/Registration Status Course Code/Specialty Features/Legacy
Lecture Date
June 17 - August 23, 2024
Mon/Wed/Fri
2:00pm-5:00pm

★Registration Status★ OPEN Registration Form 등록 신청서 		STARPREP® COURSE CODE : PRECA-01

★Precalculus™ 내신성적향상 수업★
ImproveMyGPA™

Next semester's advanced class
prepares for a semester's worth of lessons in advance during the vacation period.
All classes adjust the pace of the lessons according to the students' levels.
As they are conducted on an individual progress basis, the total number of students per class is limited to six. 		★GPA BOOST & SIGNATURE LESSON★

Precalculus™ 내신성적향상 수업

ImproveMyGPA™
Students' Satisfaction : above 99%

Optimizing Concurrent Classrooms
(In the Classroom And Online Simultaneously)
Precalculus™ Precalculus™
Lecture Date
June 17 - August 23, 2024
Tuesday&Thursday
2:00pm-5:00pm

★Registration Status★ OPEN Registration Form 등록 신청서 		STARPREP® COURSE CODE : PRECA-02

★Precalculus™ 내신성적향상 수업★
ImproveMyGPA™

Next semester's advanced class
prepares for a semester's worth of lessons in advance during the vacation period.
All classes adjust the pace of the lessons according to the students' levels.
As they are conducted on an individual progress basis, the total number of students per class is limited to six. 		★GPA BOOST & SIGNATURE LESSON★

Precalculus™ 내신성적향상 수업

ImproveMyGPA™
Students' Satisfaction : above 99%

Optimizing Concurrent Classrooms
(In the Classroom And Online Simultaneously)
Precalculus™ Precalculus™
Lecture Date
June 17 - August 23, 2024
Monday-Friday
2:00pm-5:00pm

★Registration Status★ OPEN Registration Form 등록 신청서 		STARPREP® COURSE CODE : PRECA-03

★Precalculus™ 내신성적향상 수업★
ImproveMyGPA™

Next semester's advanced class
prepares for a semester's worth of lessons in advance during the vacation period.
All classes adjust the pace of the lessons according to the students' levels.
As they are conducted on an individual progress basis, the total number of students per class is limited to six. 		★GPA BOOST & SIGNATURE LESSON★

Precalculus™ 내신성적향상 수업

ImproveMyGPA™
Students' Satisfaction : above 99%

Optimizing Concurrent Classrooms
(In the Classroom And Online Simultaneously)
Precalculus™ Precalculus™
Lecture Date
June 24 - August 2, 2024
Mon/Wed/Fri
2:00pm-5:00pm

★Registration Status★ OPEN Registration Form 등록 신청서 		STARPREP® COURSE CODE : PRECA-04

★Precalculus™ 내신성적향상 수업★
ImproveMyGPA™

Next semester's advanced class
prepares for a semester's worth of lessons in advance during the vacation period.
All classes adjust the pace of the lessons according to the students' levels.
As they are conducted on an individual progress basis, the total number of students per class is limited to six. 		★GPA BOOST & SIGNATURE LESSON★

Precalculus™ 내신성적향상 수업

ImproveMyGPA™
Students' Satisfaction : above 99%

Optimizing Concurrent Classrooms
(In the Classroom And Online Simultaneously)
Precalculus™ Precalculus™
Lecture Date
throughout the year
Every Friday
6:00pm-9:00pm

★Registration Status★ OPEN Registration Form 등록 신청서 		STARPREP® COURSE CODE : PRECA-05

★Precalculus™ 내신성적향상 수업★
ImproveMyGPA™

Next semester's advanced class
prepares for a semester's worth of lessons in advance during the vacation period.
All classes adjust the pace of the lessons according to the students' levels.
As they are conducted on an individual progress basis, the total number of students per class is limited to six. 		★GPA BOOST & SIGNATURE LESSON★

Precalculus™ 내신성적향상 수업

ImproveMyGPA™
Students' Satisfaction : above 99%

Optimizing Concurrent Classrooms
(In the Classroom And Online Simultaneously)
Precalculus™ Precalculus™
Lecture Date
throughout the year
Every Saturday
9:00am-12:00pm

★Registration Status★ OPEN Registration Form 등록 신청서 		STARPREP® COURSE CODE : PRECA-06

★Precalculus™ 내신성적향상 수업★
ImproveMyGPA™

Next semester's advanced class
prepares for a semester's worth of lessons in advance during the vacation period.
All classes adjust the pace of the lessons according to the students' levels.
As they are conducted on an individual progress basis, the total number of students per class is limited to six. 		★GPA BOOST & SIGNATURE LESSON★

Precalculus™ 내신성적향상 수업

ImproveMyGPA™
Students' Satisfaction : above 99%

Optimizing Concurrent Classrooms
(In the Classroom And Online Simultaneously)
Precalculus™ Precalculus™
Lecture Date
throughout the year
Every Saturday
1:00pm-4:00pm

★Registration Status★ OPEN Registration Form 등록 신청서 		STARPREP® COURSE CODE : PRECA-07

★Precalculus™ 내신성적향상 수업★
ImproveMyGPA™

Next semester's advanced class
prepares for a semester's worth of lessons in advance during the vacation period.
All classes adjust the pace of the lessons according to the students' levels.
As they are conducted on an individual progress basis, the total number of students per class is limited to six. 		★GPA BOOST & SIGNATURE LESSON★

Precalculus™ 내신성적향상 수업

ImproveMyGPA™
Students' Satisfaction : above 99%

Optimizing Concurrent Classrooms
(In the Classroom And Online Simultaneously)
Precalculus™ Precalculus™
Lecture Type
throughout the year
1:1 Tutoring Online/In-person
Schedule is flexible

★Registration Status★ OPEN Registration Form 등록 신청서 		STARPREP® COURSE CODE :PRECA-08

★Precalculus™ 내신성적향상 수업★
ImproveMyGPA™

Next semester's advanced class
prepares for a semester's worth of lessons in advance during the vacation period.
All classes adjust the pace of the lessons according to the students' levels. 		★GPA BOOST & SIGNATURE LESSON★

Precalculus™ 내신성적향상 수업

ImproveMyGPA™
Students' Satisfaction : above 99%

Optimizing Concurrent Classrooms
(In the Classroom And Online Simultaneously)
Precalculus™ Precalculus™

Curriculum Guide

AP Pre Calculuis

01 Fundamentals

1-1  Real Numbers
1-2  Exponents and Radicals
1-3  Algebraic Expressions
1-4  Rational Expressions
1-5  Equations
1-6  Complex Numbers
1-7  Modeling with Equations
1-8  Inequalities
1-9  The Coordinate Plane; Graphs of Equations; Circles
1-10  Lines
1-11  Solving Equations and Inequalities Graphically
1-12  Modeling Variation
1-13  Chapter Review & Test
02 Functions

2-1  Functions
2-2  Graphs of Functions
2-3  Getting Information from the Graph of a Function
2-4  Average Rate of Cahnge of a Function
2-5  Linear functions and Models
2-6  Transformations of Functions
2-7  Combing Functions
2-8  One-to-One Functions and Their Inverses
2-9  Chapter Review & Test
03 PolynomiaL and RationaL Functions

3-1  Quadratic Functions and Models
3-2  Polynomial Functions and Their Graphs
3-3  Dividing Polynomials
3-4  Real Seros of Polynomials
3-5  Complex Zeros and the Funcdamental Theorem of Algebra
3-6  Rational Functions
3-7  Polynomial and Rational Inequalities
3-8  Review & Test
04 ExponentiaL and LogarithmiC Functions

4-1  Exponential Functions
4-2  The Natural Exponential Function
4-3  Logarithmic Functions
4-4  Laws of Logarithms
4-5  Exponential and Logarithmic equations
4-6  Modeling with Exponential functions
4-7  Logarithmic Scales
4-8  Exercise & Test
05 Trigonometric Functions: Unit CirCLe Approach

5-1  The Unit Circle
5-2  Trigonometric Functions of Real numbers
5-3  Trigonometric Graphs
5-4  More Trigonometric Graphs
5-4  Inverse Trigonometric Functions and Their Graphs
5-4  Modeling Harmonic Motion
5-5  Review & Test
06 Trigonometric Functions: Right Triangle Approach

6-1  Angle Measure
6-2  Trigonometry of Right Triangles
6-3  Trigonometric Functions of Angles
6-4  Inverse Trigonometric Functions and Right Triangles
6-5  The Law of Sines
6-5  The Law of Cosines
6-6  Review & Test
07 Analytic Trigonometry

7-1  Trigonometric Identities
7-2  Addition and Subtraction Formulas
7-3  Double-Angle, Half-Angle, and Product-Sum Formulas
7-4  Basic Trigonometric Equations
7-5  More Trigonometric Equations
7-6  Review & Test
08 Polar Coordinates and Parametric Equations

8-1  Polar Coordinates
8-2  Graphs of Polar Equations
8-3  Polar form of Complex numbers; De Moivre’s Theorem
8-4  Plane Curves and Parametric Equations
8-5  Review & Test
09 Vectors in Two and Three Dimensions

9-1  Vector in Two Dimensions
9-2  The Dot Product
9-3  Three-Dimensional Coordinate Geometry
9-4  Vectors in Three Dimensions
9-5  The Cross Product
9-5  Equations of Lines and Planes
9-6  Review & Test
10 Systems of Equations and InequaLities

10-1  Systems of Linear Equations in Two Variables
10-2  Systems of Linear Equations in Several Variables
10-3  Matrices and Systems of Linear Equations
10-4  The Algebra of Matrices
10-5  Inverses of Matrices and Matrix Equations
10-6  Determinants and Cramer’s Rule
10-7  Partial Fractions
10-8  Systems of Nonlinear Equations
10-9  Systems of Inequalities
10-10  Review & Test
11 Conic Sections

11-1  Parabolas
11-2  Ellipses
11-3  Hyperbolas
11-4  Shifted Conics
11-5  Rotation of Axes
11-6  Polart Equations of Conics
11-7  Review & Test
12 Sequences and Series

12-1  Sequences and Summation Notation
12-2  Arithmetic Sequences
12-3  Geometric Sequences
12-4  Mathematics of Finance
12-5  Mathematical Induction
12-6  The Binomial Theorem
12-7  Review & Test
13 A Preview of CalcuLus

13-1  Finding Limits Aumerically and Graphically
13-2  Finding Limits Algebraically
13-3  Tangent Lines and Derivatives
13-4  Limits at Infinity; Limits of Sequences
13-5  Area
13-6  Review & Test
01 Fundamentals

1-1  Real Numbers
1-2  Exponents and Radicals
1-3  Algebraic Expressions
1-4  Rational Expressions
1-5  Equations
1-6  Complex Numbers
1-7  Modeling with Equations
1-8  Inequalities
1-9  The Coordinate Plane; Graphs of Equations; Circles
1-10  Lines
1-11  Solving Equations and Inequalities Graphically
1-12  Modeling Variation
1-13  Chapter Review & Test

 02 Functions

2-1  Functions
2-2  Graphs of Functions
2-3  Getting Information from the Graph of a Function
2-4  Average Rate of Cahnge of a Function
2-5  Linear functions and Models
2-6  Transformations of Functions
2-7  Combing Functions
2-8  One-to-One Functions and Their Inverses
2-9  Chapter Review & Test

 03 PolynomiaL and RationaL Functions

3-1  Quadratic Functions and Models
3-2  Polynomial Functions and Their Graphs
3-3  Dividing Polynomials
3-4  Real Seros of Polynomials
3-5  Complex Zeros and the Funcdamental Theorem of Algebra
3-6  Rational Functions
3-7  Polynomial and Rational Inequalities
3-8  Review & Test
04 ExponentiaL and LogarithmiC Functions

4-1  Exponential Functions
4-2  The Natural Exponential Function
4-3  Logarithmic Functions
4-4  Laws of Logarithms
4-5  Exponential and Logarithmic equations
4-6  Modeling with Exponential functions
4-7  Logarithmic Scales
4-8  Exercise & Test

 05 Trigonometric Functions: Unit CircLe Approach

5-1  The Unit Circle
5-2  Trigonometric Functions of Real numbers
5-3  Trigonometric Graphs
5-4  More Trigonometric Graphs
5-5  Inverse Trigonometric Functions and Their Graphs
5-6  Modeling Harmonic Motion
5-7  Review & Test

 06 Trigonometric Functions: Right Triangle Approach

6-1  Angle Measure
6-2  Trigonometry of Right Triangles
6-3  Trigonometric Functions of Angles
6-4  Inverse Trigonometric Functions and Right Triangles
6-5  The Law of Sines
6-5  The Law of Cosines
6-6  Review & Test
07 Analytic Trigonometry

7-1  Trigonometric Identities
7-2  Addition and Subtraction Formulas
7-3  Double-Angle, Half-Angle, and Product-Sum Formulas
7-4  Basic Trigonometric Equations
7-5  More Trigonometric Equations
7-6  Review & Test

 08 Polar Coordinates and Parametric Equations

8-1  Polar Coordinates
8-2  Graphs of Polar Equations
8-3  Polar form of Complex numbers; De Moivre’s Theorem
8-4  Plane Curves and Parametric Equations
8-5  Review & Test

 09 Vectors in Two and Three Dimensions

9-1  Vector in Two Dimensions
9-2  The Dot Product
9-3  Three-Dimensional Coordinate Geometry
9-4  Vectors in Three Dimensions
9-5  The Cross Product
9-5  Equations of Lines and Planes
9-6  Review & Test
10 Systems of Equations and InequaLities

10-1  Systems of Linear Equations in Two Variables
10-2  Systems of Linear Equations in Several Variables
10-3  Matrices and Systems of Linear Equations
10-4  The Algebra of Matrices
10-5  Inverses of Matrices and Matrix Equations
10-6  Determinants and Cramer’s Rule
10-7  Partial Fractions
10-8  Systems of Nonlinear Equations
10-9  Systems of Inequalities
10-10  Review & Test

 11 Conic Sections

11-1  Parabolas
11-2  Ellipses
11-3  Hyperbolas
11-4  Shifted Conics
11-5  Rotation of Axes
11-6  Polart Equations of Conics
11-7  Review & Test

 12 Sequences and Series

12-1  Sequences and Summation Notation
12-2  Arithmetic Sequences
12-3  Geometric Sequences
12-4  Mathematics of Finance
12-5  Mathematical Induction
12-6  The Binomial Theorem
12-7  Review & Test
13 A Preview of CalcuLus

13-1  Finding Limits Numerically and Graphically
13-2  Finding Limits Algebraically
13-3  Tangent Lines and Derivatives
13-4  Limits at Infinity; Limits of Sequences
13-5  Area
13-6  Review & Test

How to Register

Click the box below and please submit the google response form

Reference Lectures

PreCalculus

Precalculus Introduction Precalculus crash course
PreCalculus Full Course For Beginners Trigonometry, Precalculus
  • ★ STARPREP® [스타프랩어학원] Address: Gangnam-daero78Gil 8, 10th Floor, Seoul, Republic of Korea [postal code: 06242]
    서울시 강남구 강남대로78길 8 10층 [우편번호 06242]
    [STARPREP®] [CFO. Elena K. Bae; CTO. Dr. Jerome Lee] [Business Reg. Number: 117-91-29341] [Office of Education Reg. Number: 13819] [교습비]
    Contact: [Telephone #: 02-2654-9837; 02-554-9836] [Telephone : +82-2-2654-9837 ; +82-2-554-9836] [E-Mail: starprep@starprep.co.kr] [KakaoTalk ID: starprep] [Wechat ID: starprepseoul]
    CopyrightⓒSTARPREP®. All rights reserved.