Notes By Topic *Videos for some of the notes are here
Domain, Range and Graphs of Functions
The Precise Definition of a Limit Tricky Example
Precise Definition of Continuity at a Point
Limit Definition of the Derivative
Derivatives of Odd and Even Functions
Power, Product and Quotient Rules
Projectile Problem, Trig Derivatives, Chain Rule
Derivatives of Inverse, Logs and Exponential Functions
Inverse Trig Functions Derivatives, Related Rates
Linearization, Differentials and Error Propagation
Absolute Extrema, Mean Value Theorem, Rolle's Theorem
The Car Race Problem (Rolle's Theorem)
Curve Sketching Using the 1st and 2nd Derivative
More Curve Sketching, Optimization
Even More Curve Sketching and Optimization
Two Optimization Problems Involving Circles and Isosceles Triangles
Problem Sets With Solutions
PS1 (Domain, Range and Graphing Functions) PS1 Solutions
PS3 (Precise Definition of a Limit) PS3 Solutions
PS4 (Limits Involving Infinity) PS4 Solutions
PS5 (Continuity) PS5 Solutions
PS6 (Limit Definition of the Derivative) PS6 Solutions
PS7 (Power, Product and Quotient Rules) PS7 Solutions
PS8 (Velocity, Trig Derivatives, Chain Rule) PS8 Solutions
PS9 (implicit Differentiation) PS9 Solutions
PS10 (Inverse, Log and Exponential Derivatives) PS10 Solutions
PS11 (Inverse Trig Derivatives, Related Rates) PS11 Solutions
PS12 (Linearization, Differentials and Error Propagation) PS12 Solutions
PS13 (Absolute Extrema, MVT, Rolle's Theorem) PS13 Solutions
PS14 (Graphing With the 1st and 2nd Derivative) PS14 Solutions
PS15 (More Graphing, Optimization) PS15 Solutions
PS16 (Even More Graphing and Optimization) PS16 Solutions
PS17 (L'Hopital's Rule) PS17 Solutions
PS18 (Practice Final) Solutions
Exam Practice Problems
Midterm 1 Practice Problems Midterm 1 Practice (Solutions)
Midterm 2 Practice Problems Midterm 2 Practice (Solutions)
Final Review Problems Final Review (Solutions)