MAT212/213 Brief Calculus
Resources for Instructors

Lecture Notes

Lesson

Section 1.1 - Models and Functions

Section 1.2 - Linear Models

Section 1.3 - Exponential and Logarithmic Models

Section 1.4 - Logistic Functions and Models

Section 1.5 - Polynomial Functions and Models

Section 2.1 - Change, Percentage Change, and Average Rates of Change

Section 2.2 - Instantaneous Rates of Change

Section 2.3 - Derivative Notation and Numerical Estimates

Section 2.4 - Algebraically Finding Slopes

Section 3.1 - Drawing Rate-of-Change Graphs

Section 3.2 - Simple Rate-of-Change Formulas

Section 3.3 - Exponential and Logarithmic Rate-of-Change Formulas

Section 3.4 - The Chain Rule

Section 3.5 - The Product Rule

Section 4.1 - Approximating Change

Section 4.2 - Relative and Absolute Extreme Points

Section 4.3 - Inflection Points

Section 4.4 - Interconnected Change: Related Rates

Section 5.1 - Results of Change and Approximation

Section 5.2 - Accumulation Functions

Section 5.3 - The Fundamental Theorem

Section 5.4 - The Definite Integral

Section 5.5 - Average Value and Average Rate of Change

Section 5.6 - Integration by Substitution or Algebraic Manipulation

Section 6.1 - Perceptual Accumulation and Improper Integrals

Exam Reviews

Review

Key?

Jeopardy Review #1 - Chapters 1 and 2 Yes
Jeopardy Review #2 - Chapters 3 and 4 Yes
Jeopardy Review #3 - Chapters 5 and 6 Yes
Jeopardy Review Final - Comprehensive Review Yes

Projects

Project

Derivatives - Students estimate rates of change based on the graph of a function, and use that information to graph the "rate of change function". 

Introduction to Integrals - Given data on the time and velocity of a car, students have to determine how far the car could have traveled.