## Joon Lee

### 제대로 배운 Calculus여야 5점 받는다

UCLA Mathematics, BS Mathematics, MA

AP Calculus BC Full Package

AP
Calculus BC AP Calculus BC Full Package

Class 1: Functions

Class 2: Chapter 1 Practice Exercises

Class 3: Limits

Class 4: Continuity, Chapter 2 Practice Exercises

Class 5: Chapter 2 Practice Exercises, Differentiation: Definition, Formulas, Chain Rule

Class 6: Chain Rule, Product Rule, Quotient Rule, Differentiability and Continuity, Derivatives of Parametrically Defined Functions

Class 7: Implicit Differentiation, Derivatives of the Inverse of a Function, Mean Value Theorem, L’Hopital’s Rule

Class 8: Chapter 3 Practice Exercises

Class 9: Homework Chapter 2 and 3

Class 10: Applications of Differential Calculus: Critical Points, Tangent and Normals, Maximum, Minimum and Inflection Points, Curve Sketching

Class 11: Homework Chapter 4

Class 12: Curve Sketching, Global Maximum and Minimum, Optimization

Class 13: Homework Chapter 4

Class 14: Motion Along a Line, Motion Along a Curve

Class 15: Tangent-Line Approximations, Related Rates, Slope of a Polar Curve

Class 16: Homework Chapter 4

Class 17: Antidifferentiation: Antiderivatives, Basic Formulas

Class 18: Antiderivatives, Integration by Partial Fractions

Class 19: Homework Chapter 5

Class 20: Integration by Partial Fractions, Integration by Parts, Tic-Tac-Toe Method, Differential Equations: Motion Problems

Class 21: Homework Chapter 5

Class 22: Fundamental Theorem of Calculus, Integrals Involving Parametrically Defined Functions

Class 23: Homework Chapter 6

Class 24: Definition of Definite Integral as a Limit of a Sum, Approximations of the Definite Integral: Riemann Sums

Class 25: Homework Chapter 6

Class 26: Applications of Integration to Geometry: Area Between Curves, Area Using Symmetry, Volume: Solids with Known Cross Sections, Solids of Revolution

Class 27: Homework Chapter 7

Class 28: Solids of Revolution: Washer, Shell, Arc Length, Improper Integrals: The Comparison Test

Class 29: Homework Chapter 7

Class 30: Homework Chapter 7

Class 31: Homework Chapter 7, Comparison Test

Class 32: Motion Along a Straight Line, Motion Along a Plane Curve, Applications of Riemann Sums

Class 33: Homework Chapter 8

Class 34: Homework Chapter 8

Class 35: Differential Equations: Basic Definitions, Slope Fields, Euler’s Method

Class 36: Homework Chapter 9

Class 37: Solving First-Order Differential Equations Analytically: Separating Variables, Expanded Growth and Decay, Restricted Growth

Class 38: Restricted Growth, Logistic Growth

Class 39: Homework Chapter 9

Class 40: Homework Chapter 9

Class 41: Sequences and Series: Sequences of Real Numbers, Infinite Series

Class 42: Tests for Convergence of Nonnegative Series, Alternating Series and Absolute Convergence

Class 43: Homework Chapter 10

Class 44: Alternating Series and Absolute Convergence, Power Series

Class 45: Homework Chapter 10

Class 46: Power Series

Class 47: Taylor’s Formula with Remainder; Lagrange Error Bound, Computation with Power Series, Power Series over Complex Numbers

Class 48: Homework Chapter 10

Class 49: 2003 AP Calculus BC Released Exam #1~16

Class 50: 2003 AP Calculus BC Released Exam #17~28

Class 51: 2003 AP Calculus BC Released Exam #76~87

Class 52: 2003 AP Calculus BC Released Exam #88~92, Free Response Question #1

Class 53: 2003 AP Calculus BC Released Exam FRQ #2, 3, Barron’s 12th Ed BC Exam 1 p608 #19

Class 54: 2003 AP Calculus BC Released Exam FRQ #4~6, Barron’s 12th Ed BC Exam 1 p612 #38

Class 55: 1998 AP Calculus BC Released Exam #1, 3, 4; Barron’s 12th Ed BC Exam 1 p608 #20

Class 56: 1998 AP Calculus BC Released Exam #6, 2002 Released Exam #2, Barron’s 12th Ed p631 #23

Class 57: 2002 AP Calculus BC Released Exam #4, 5; 1997 Released Exam #3, 4

Class 2: Chapter 1 Practice Exercises

Class 3: Limits

Class 4: Continuity, Chapter 2 Practice Exercises

Class 5: Chapter 2 Practice Exercises, Differentiation: Definition, Formulas, Chain Rule

Class 6: Chain Rule, Product Rule, Quotient Rule, Differentiability and Continuity, Derivatives of Parametrically Defined Functions

Class 7: Implicit Differentiation, Derivatives of the Inverse of a Function, Mean Value Theorem, L’Hopital’s Rule

Class 8: Chapter 3 Practice Exercises

Class 9: Homework Chapter 2 and 3

Class 10: Applications of Differential Calculus: Critical Points, Tangent and Normals, Maximum, Minimum and Inflection Points, Curve Sketching

Class 11: Homework Chapter 4

Class 12: Curve Sketching, Global Maximum and Minimum, Optimization

Class 13: Homework Chapter 4

Class 14: Motion Along a Line, Motion Along a Curve

Class 15: Tangent-Line Approximations, Related Rates, Slope of a Polar Curve

Class 16: Homework Chapter 4

Class 17: Antidifferentiation: Antiderivatives, Basic Formulas

Class 18: Antiderivatives, Integration by Partial Fractions

Class 19: Homework Chapter 5

Class 20: Integration by Partial Fractions, Integration by Parts, Tic-Tac-Toe Method, Differential Equations: Motion Problems

Class 21: Homework Chapter 5

Class 22: Fundamental Theorem of Calculus, Integrals Involving Parametrically Defined Functions

Class 23: Homework Chapter 6

Class 24: Definition of Definite Integral as a Limit of a Sum, Approximations of the Definite Integral: Riemann Sums

Class 25: Homework Chapter 6

Class 26: Applications of Integration to Geometry: Area Between Curves, Area Using Symmetry, Volume: Solids with Known Cross Sections, Solids of Revolution

Class 27: Homework Chapter 7

Class 28: Solids of Revolution: Washer, Shell, Arc Length, Improper Integrals: The Comparison Test

Class 29: Homework Chapter 7

Class 30: Homework Chapter 7

Class 31: Homework Chapter 7, Comparison Test

Class 32: Motion Along a Straight Line, Motion Along a Plane Curve, Applications of Riemann Sums

Class 33: Homework Chapter 8

Class 34: Homework Chapter 8

Class 35: Differential Equations: Basic Definitions, Slope Fields, Euler’s Method

Class 36: Homework Chapter 9

Class 37: Solving First-Order Differential Equations Analytically: Separating Variables, Expanded Growth and Decay, Restricted Growth

Class 38: Restricted Growth, Logistic Growth

Class 39: Homework Chapter 9

Class 40: Homework Chapter 9

Class 41: Sequences and Series: Sequences of Real Numbers, Infinite Series

Class 42: Tests for Convergence of Nonnegative Series, Alternating Series and Absolute Convergence

Class 43: Homework Chapter 10

Class 44: Alternating Series and Absolute Convergence, Power Series

Class 45: Homework Chapter 10

Class 46: Power Series

Class 47: Taylor’s Formula with Remainder; Lagrange Error Bound, Computation with Power Series, Power Series over Complex Numbers

Class 48: Homework Chapter 10

Class 49: 2003 AP Calculus BC Released Exam #1~16

Class 50: 2003 AP Calculus BC Released Exam #17~28

Class 51: 2003 AP Calculus BC Released Exam #76~87

Class 52: 2003 AP Calculus BC Released Exam #88~92, Free Response Question #1

Class 53: 2003 AP Calculus BC Released Exam FRQ #2, 3, Barron’s 12th Ed BC Exam 1 p608 #19

Class 54: 2003 AP Calculus BC Released Exam FRQ #4~6, Barron’s 12th Ed BC Exam 1 p612 #38

Class 55: 1998 AP Calculus BC Released Exam #1, 3, 4; Barron’s 12th Ed BC Exam 1 p608 #20

Class 56: 1998 AP Calculus BC Released Exam #6, 2002 Released Exam #2, Barron’s 12th Ed p631 #23

Class 57: 2002 AP Calculus BC Released Exam #4, 5; 1997 Released Exam #3, 4

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UCLA Mathematics, BS Mathematics, MA