This is a schedule for a ~15 week course
that reviews topics from college algebra
— linear, quadratic, exponential, and logarithmic functions —
then briefly covers the core concepts
of differential and integral calculus.
Within each section there are links to recommended readings
and Desmos demonstrations.
Chapters enumerated with § refer to
Calculus and its Applications, Brief Version, 12e , by Bittinger, Ellenbogen, and Surgent
Week One · January 19
Monday – Martin Luther King Jr day, No Class
Tuesday – Algebra, Equations, and Curves
§Appendix A – Review of Basic Algebra
§R.1 Graphs and Equations
Display Notes
Wednesday – Functions, Graphs, and Models
§R.2 Functions and Models
§R.3 Finding Domain and Range
Display Notes
Thursday – Syllabus + Early-Term Assessment
Week Two · January 26
Monday – Algebraic Functions
§R.4 Slope and Linear Functions
§R.5 Nonlinear Function and Models
Display Notes
Tuesday – Exponential & Logarithmic Functions
§R.6 Exponential and Logarithmic Functions
§2.1 Exponential and Logarithmic Functions of the Natural Base, e
Display Notes
Wednesday – Periodic Functions: Sine and Cosine
Thursday – Regression: Using Functions to Model Data
Week Three · February 2
Mon/Tuesday –
Wednes/Thursday – First Midterm Exam
Past Midterm Exams
Week Four · February 9
Monday – Limits & Continuity
§1.1 Limits: A Numerical and Graphical Approach
§1.2 Algebraic Limits and Continuity
Display Notes
Tuesday – Average Rates-of-Change: Secant Lines
Wednesday – Instantaneous Rates-of-Change: The Derivative
§1.4 Differentiation Using Limits of Difference Quotients
Display Notes
Thursday – Linearity, and the Power Rule of Differentiation
§1.5 Leibniz Notation and the Power and Sum-Difference Rules
Display Notes
Week Five · February 16
Monday – The Product & Quotient Rules of Differentiation
Tuesday – The Chain Rule of Differentiation
Wednesday – Higher-Order Derivatives
Thursday – Differentiation Exercises
Week Six · February 23
Monday – The Derivatives of Natural Exponential & Logarithmic Functions
§2.2 Derivatives of Exponential (Base-e ) Functions
§2.3 Derivatives of Natural Logarithmic Functions
Display Notes
Tuesday – The Derivatives of General Exponential & Logarithmic Functions
Wednesday – Exponential Growth and Decay
§2.4 Applications: Uninhibited and Limited Growth Models
§2.5 Applications: Exponential Decay
Display Notes
Thursday – The Derivatives of Periodic Functions
Week Seven · March 2
Mon/Tuesday –
Wednes/Thursday – Second Midterm Exam
Past Midterm Exams
Week Eight · March 9
Monday – Slope and Extreme Points
§3.1 Using First Derivatives to Classify Maximum and Minimum Values and Sketch Graphs
Display Notes
Tuesday – Concavity and Inflection Points
§3.2 Using Second Derivatives to Classify Maximum and Minimum Values and Sketch Graphs
Display Notes
Wednesday – Asymptotes and Asymptotic Behavior
§3.3 Graph Sketching: Asymptotes and Rational Functions
Display Notes
Thursday – Curve Sketching Exercises
Week Nine · March 16
Week Ten · March 23
Mon/Tues/Wednes/Thursday – Optimization Problems
§3.4 Optimization: Finding Absolute Maximum and Minimum Values
§3.5 Optimization: Business, Economics, and General Applications
Display Notes
Week Eleven · March 30
Mon/Tuesday –
Wednes/Thursday – Third Midterm Exam
Past Midterm Exams
Week Twelve · April 6
Monday – Antidifferentiation
Tuesday – Definite Integrals and Accumulated Area
Wednesday – The Fundamental Theorem of Calculus
§4.3 Area and Definite Integrals
§4.4 Properties of Definite Integrals: Additive Property, Average Value, and Moving Average
Display Notes
Thursday – The Average Value of a Function
§4.4 Properties of Definite Integrals: Additive Property, Average Value, and Moving Average
Display Notes
Week Thirteen · April 13
Monday – Integration by Substitution
Tuesday – Integration by Parts
Wednesday – Numerical Integration
Thursday – Improper Integrals
Week Fourteen · April 20
Mon/Tuesday – Money Flow
Wednes/Thursday – Continuous Probability
§5.4 Probability
§5.5 Probability: Expected Value; the Normal Distribution
Display Notes
Week Fifteen · April 27
Mon/Tuesday –
Wednes/Thursday – Fourth Midterm Exam
Past Midterm Exams
Week Sixteen · May 4
Final Exam