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Course ID: 02124BY17
Credits: 1
Term: Year Round 2016-17
Prerequisites:

Student must be approved by the department head prior to enrollment. Algebra I, Geometry, Algebra II, Pre-Calculus or Trigonometry/Analytical Geometry.



Note: It is the expectation of VTVLC that students take the Advanced Placement Exam (AP® Exam) to receive Advanced Placement credit. Students need to be approved by the department head by completing and returning this AP Course Recommendation Letter Form.

Course Description:

Students must take the Advanced Placement Exam (AP® Exam ) in order to receive Advanced Placement credit. Comparable to college and university calculus, this course will help prepare you for the Calculus BC Advanced Placement* exam. Study limits, continuity, differentiation, and integrated algebraic, trigonometric, and transcendental functions, as well as explore applications of derivatives and integrals, infinite series, and parametric and polar equations.



Topics & Concepts:
Starting Segment I: Module 00 Getting Started
  • 00.01 Things to Know
  • 00.02 Navigation
  • 00.03 Lessons and Assessments
  • 00.04 Course Specifics
  • 00.05 Online Learning 101
  • 00.06 Pace
  • 00.07 Academic Integrity
Module 01 Functions
  • 01.00 Module One Checklist and Pretest
  • 01.01 Course Introduction
  • 01.02 Introduction to Calculus
  • 01.03 Review of Function Terminology and More
  • 01.04 Graphing Calculators
  • 01.05 Compositions and Transformations of Functions
  • 01.06 Some Common Functions
  • 01.07 Discussion-Based Assessment or Collaborative Lesson
  • 01.08 Modul One Practice Test
  • 01.09 Module One Test Part 1
  • 01.09 Module One Test Part 2
Module 02 Limits and Continuity
  • 02.00 Module Two Checklist and Pretest
  • 02.01 Introduction to Limits
  • 02.02 Properties of Limits
  • 02.03 Limits Involving Infinity
  • 02.04 Continuity
  • 02.05 Applications of Limits
  • 02.06 Discussion-Based Assessment or Collaborative Lesson
  • 02.07 Module Two Practice Test
  • 02.08 Module Two Test Part 1
  • 02.08 Module Two Test Part 2
Module 03 Differentiation
  • 03.00 Module Three Checklist and Pretest
  • 03.01 The Derivative
  • 03.02 Rules of Differentiation
  • 03.03 Trigonometric Derivatives and the Chain Rule
  • 03.04 Inverse Functions
  • 03.05 Exponential and Logarithmic Functions
  • 03.06 Derivatives of Exponential, Logarithmic, and Inverse Trig Functions
  • 03.07 Implicit Differentiation
  • 03.08 Discussion-Based Assessment or Collaborative Lesson
  • 03.09 Module Three Practice Test
  • 03.10 Module Three Test Part 1
  • 03.10 Module Three Test Part 2
Module 04 Applications of Derivatives
  • 04.00 Module Four Checklist and Pretest
  • 04.01 Analyzing Functions Part I: Curve Sketching
  • 04.02 Analyzing Functions Part II: Maximums and Minimums
  • 04.03 Applied Maximum and Minimum Problems
  • 04.04 Distance, Velocity, Acceleration, and Rectilinear Motion
  • 04.05 Related Rates
  • 04.06 The Mean-Value Theorem and L’Hôpital’s Rule
  • 04.07 Linearization
  • 04.08 Discussion-Based Assessment or Collaborative Lesson
  • 04.09 Module Four Practice Test
  • 04.10 Module Four Test Part 1
  • 04.10 Module Four Test Part 2
Module 05 Integration
  • 05.00 Module Five Checklist and Pretest
  • 05.01 Area Approximation and Riemann Sums
  • 05.02 Introduction to the Definite Integral
  • 05.03 The Fundamental Theorem of Calculus
  • 05.04 Integrals and Antiderivatives
  • 05.05 Integration by Substitution
  • 05.06 The Definite Integral
  • 05.07 Discussion-Based Assessment or Collaborative Lesson
  • 05.08 Module Five Practice Test
  • 05.09 Module Five Test Part 1
  • 05.09 Module Five Test Part 2
Module 06 Application of Integrals
  • 06.00 Module Six Checklist and Pretest
  • 06.01 Finding the Area Under and Between Curves
  • 06.02 Volume by Discs (Slicing)
  • 06.03 Average Value of a Function and Rectilinear Motion Revisited
  • 06.04 Discussion-Based Assessment or Collaborative Lesson
  • 06.05 Module Six Practice Test
  • 06.06 Module Six Test Part 1
  • 06.06 Module Six Test Part 2
  • 06.07 Segment One Practice Exam
  • 06.08 Segment One Exam Part 1
  • 06.08 Segment One Exam Part 2
Segment II Module 07 Differential Equations and More Riemann Sums
  • 07.00 Module Seven Checklist and Pretest
  • 07.01 Differential Equations—An Introduction
  • 07.02 Initial Value Problems and Slope Fields
  • 07.03 Numerical Approximation Methods with Integrals
  • 07.04 Discussion-Based Assessment or Collaborative Lesson
  • 07.05 Module Seven Practice Test
  • 07.06 Module Seven Test Part 1
  • 07.06 Module Seven Test Part 2
Module 08 Supplemental Topics
  • 08.00 Module Eight Checklist and Pretest
  • 08.01 Exploring the Graphs of f, f Prime, and f Double Prime
  • 08.02 Relative Rates of Growth
  • 08.03 Using Calculus with Data in a Table
  • 08.04 Functions Defined by Integrals
  • 08.05 Integration by Parts
  • 08.06 Integration Using Partial Fractions
  • 08.07 Improper Integrals
  • 08.08 Discussion-Based Assessment or Collaborative Lesson
  • 08.09 Module Eight Practice Test
  • 08.10 Module Eight Test Part 1
  • 08.10 Module Eight Test Part 2
Module 09 Analytic Geometry
  • 09.00 Module Nine Checklist and Pretest
  • 09.01 Parametric Curves
  • 09.02 Polar Curves
  • 09.03 Vector Curves
  • 09.04 Length of Planar Curves
  • 09.05 Area of Planar Curves (Polar Curves Only)
  • 09.06 Discussion-Based Assessment or Collaborative Lesson
  • 09.07 Module Nine Practice Test
  • 09.08 Module Nine Test Part 1
  • 09.08 Module Nine Test Part 2
Module 10 Series and Convergence
  • 10.00 Module Ten Checklist and Pretest
  • 10.01 Series
  • 10.02 Convergence
  • 10.03 Tests for Convergence Part I
  • 10.04 Tests for Convergence Part II
  • 10.05 Error Bound
  • 10.06 Discussion-Based Assessment or Collaborative Lesson
  • 10.07 Module Ten Practice Test
  • 10.08 Module Ten Test Part 1
  • 10.08 Module Ten Test Part 2
Module 11 Polynomial Series and Approximations
  • 11.00 Module Eleven Checklist and Pretest
  • 11.01 Maclaurin Series
  • 11.02 Taylor Series and Error Bound
  • 11.03 Power Series
  • 11.04 Radius and Interval of Convergence of Power Series
  • 11.05 Applications of Polynomial Series
  • 11.06 Discussion-Based Assessment or Collaborative Lesson
  • 11.07 Module Eleven Practice Test
  • 11.08 Module Eleven Test Part 1
  • 11.08 Module Eleven Test Part 2
  • 11.09 Segment Two Practice Exam
  • 11.10 Segment Two Exam Part 1
  • 11.10 Segment Two Exam Part 2
Module 12 Getting Ready for the Exam
  • 12.00 Module Twelve Checklist
  • 12.01 Test Format—MC Part A
  • 12.02 Using a Calculator—MC Part B
  • 12.03 The Free Response Section
  • 12.04 Common Mistakes. How Is the Exam Scored?


Offerings and courses subject to change. Please refer to the VTVLC Student Information System as the most up-to-date resource of current offerings and required materials for courses.