Fall 2017 - Spring 2019 Course Syllabus

Common Polar Graphs

Trig Identities

Integrals Review Solutions

Table of Contents

Entry #1: Lesson 1.1a: Trig Review (due 8/24)

Entry #2: Lesson 1.1b: Limits and Continuity (due 8/29)

Entry #3: Lesson 1.2: Intermediate Value Theorem & Graphing Adjustments (due 8/31)

Intermediate Value Theorem and Graphing Adjustments Worksheet (due 9/4)

Entry #4: Lesson 1.3: Infinite Limits, Limits at Infinity, Curve Sketching (due 9/6)

Entry #5: Lesson 1.4a: Limit Definition of Derivative (due 9/7)

Entry #6: Lesson 1.4b: Alternate Form and Trig Review (Notes)

Entry #7: Lesson 1.5: Differentiation Rules, Tangent Lines, Differentiability, & Rates of Change (due 9/11)

Entry #8: Lesson 1.6: Position, Velocity, & Acceleration and Calculator Derivation (due 9/13)

Entry #9: Lesson 2.1: Product Rule, Quotient Rule, & Trig Rules (due 9/20)

Entry #10: Lesson 2.2: Chain Rule (due 9/21)

Entry #11: Lesson 2.3: Implicit Differentiation (due 9/24)

Entry #12: Lesson 2.4: Related Rates Story Problems (due 9/25)

Entry #13: Lesson 2.5: Extreme Values and the Mean Value Theorem

Entry #14: Lesson 2.6: Increasing/Decreasing Functions and The First Derivative Test (Notes)

Entry #15: Lesson 3.1: Concavity, Points of Inflection, & the Second Derivative Test

Entry # 16: Lesson 3.2: Curve Sketching with Relative Extrema & Inflection Points

Entry #17: Lesson 3.3: Graphing Derivatives & Antiderivatives from Graphs

Entry #18: Lesson 3.4: Optimization Story Problems (due 10/15)

Entry #19: Lesson 3.5: Approximating with Tangent Lines

Entry #20: Lesson 3.6: Integrals

Entry #21: Lesson 4.1a: Reverse Chain Rule

Entry #22: Lesson 4.1b: u-Substitution

Entry #23: Lesson 4.2: The First Fundamental Theorem of Calculus

Entry #24: Lesson 4.3a: The Second Fundamental Theorem of Calculus

Entry #25: Lesson 4.3b: Rate Graphs & Average Value of a Function

Entry #26: Lesson 4.4: Riemann Sums

Entry #27: Lesson 4.5: Area Between Curves

Entry #28: Lesson 4.6: Volumes of Solids with Known Cross Sections

Entry #29: Lesson 5.1: Shell Method & Arc Length

Entry #30: Lesson 5.2: Derivatives and Integrals of Exponential Functions

Entry #31: Lesson 5.3: Derivatives of Inverse Functions

Entry #32: Lesson 5.4: Logarithmic Functions & Log Derivatives

Entry #33: Lesson 5.5: Integration Involving the Natural Log Function

Entry #34: Lesson 5.6: Solving Differential Equations & Exponential Growth and Decay

Entry #35: Lesson 6.1: Slope Fields and Euler's Method

Entry #36: Lesson 6.2: Inverse Trig Functions

Entry #37: Lesson 6.3: Integration by Parts

Entry #38: Lesson 6.4: Partial Fractions

Entry #40: Lesson 6.6: L'Hospital's Rule

Entry #41: Lesson 7.1: Improper Integrals

Entry #42: Lesson 7.2:

Entry #43: Lesson 7.3: Series Convergence, Geometric Series, & the nth Term Test

Entry #44: Lesson 7.4: Power Series

Entry #45: Lesson 7.5: Taylor Series

Entry #46: Lesson 7.6: Elementary Series & Alternating Series

Entry #47: Lesson 8.1: Error Approximations

Entry #48: Lesson 8.2: Integral Test & p-Series

Entry #49: Lesson 8.3: Direct Comparison Test & Limit Comparison Test

Entry #50: Lesson 8.4: Ratio Test

Entry #51: Lesson 8.5: Interval of Convergence (by Ratio Test)

Entry #52: Lesson 8.6: Absolute vs. Conditional Convergence

Entry #53: Lesson 9.1: Parametric Equations

Entry #54: Lesson 9.2: Polar Graphs

Entry #55: Lesson 9.3: Polar Area

Entry #56: Lesson 9.4: Polar Arc Length & Vector Vocabulary

Assignment 9-4

Entry #57: Lesson 9.5: The Calculus of Vector Valued Functions

The Calculus of Vector Valued Functions (Key)

Limits & Continuity Review

Derivatives Review

Integrals Review

Sequences & Series Review

Mixed Review