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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

PreCalculus™

STARPREP®에서 제공하는 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
Yeeun Sung (UC Berkeley, BS 학사졸업, 9년차 경력)

Professor
David B. Paek (Boston College, BS 학사졸업, 3년차 경력)

Registration Board

High School PreCalculus™

  • Course Code/Professor(Alma Mater)
  • STARPREP® COURSE CODE : PRECA-01

    ★ PreCalculus™ GPA-Boosting Course ★
    학교 내신점수향상 대비반

    Professor
    Yeeun Sung (BS, UC Berkeley, 경력 9년차)
  • 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-02

    ★ PreCalculus™ GPA-Boosting Course ★
    학교 내신점수향상 대비반

    Professor
    David B. Paek (Boston College, BS 학사졸업, 3년차 경력)
  • 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-03

    ★ PreCalculus™ GPA-Boosting Course ★
    학교 내신점수향상 대비반

    Professor
    David B. Paek (Boston College, BS 학사졸업, 3년차 경력)
  • 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
Every Friday
6:00pm-9:00pm

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

★PreCalculus™ 내신성적향상 수업★
ImproveMyGPA™

Professor
Yeeun Sung
BS 학사졸업, UC Berkeley
"Expert Teacher" Teaching 9 years and beyond

★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
Every Friday
6:00pm-9:00pm

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

★PreCalculus™ 내신성적향상 수업★
ImproveMyGPA™

Professor
David B. Paek
Boston College, BS 학사졸업
"Expert Teacher" Teaching 3 years and beyond


★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
Every Saturday
9:00am-12:00pm

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

★PreCalculus™ 내신성적향상 수업★
ImproveMyGPA™

Professor
David B. Paek
Boston College, BS 학사졸업
"Expert Teacher" Teaching 3 years and beyond


★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

High School 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


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Reference Lectures

PreCalculus

Precalculus Introduction Precalculus crash course
PreCalculus Full Course For Beginners Trigonometry, Precalculus