Course Outline - Calculus II: Integral Calculus

Description

Calculus II: Integral Calculus gives students the opportunity to explore the concepts and techniques developed by Newton, Leibniz, and others in an effort to examine motion, rates of changes, and total displacement. Topics to be covered in this course will include:

Function Review from Pre-Calculus
Fundamental Theorem of Calculus
Differential Equations
Areas and Volumes

Those following the suggested AP Calculus timetable may refer to the Advanced Placement Calculus Web site.

Lesson Structure: Suggested Time

Chapter 5: The Definite Integral (26 days)

Lesson 1: Estimating with Finite Sums (3 days)
Lesson 2: Definite Integrals (4 days)
Lesson 3: Definite Integrals and Antiderivatives (8 days)
Lesson 4: Fundamental Theorem of Calculus (5 days)
Lesson 5: Historical Techniques (3 days)
Review and Test (3 days)

Chapter 6: Differential Equations and Modeling (22 days)

Lesson 1: Antiderivatives (4 days)
Lesson 2: Integration by Substitution (4 days)
Lesson 3: Exponential Growth and Decay (4 days)
Lesson 4: Population Growth (4 days)
Lesson 5: Numerical Methods (3 days)
Review and Test (3 days)

Chapter 7: Applications of Integration (21 days)

Lesson 1: Integral as Change (5 days)
Lesson 2: Areas (3 days)
Lesson 3: Volumes (5 days)
Lesson 4: Applications (5 days)
Review and Test (3 days)

Semester Review and Test