Notes By Topic *Videos for the notes are here
Antiderivatives and Riemann Sums *Note: error in example 7. Should be (1/6)sec(6x)
Limit Definition of a Definite Integral A Creative Riemann Sum
The Fundamental Theorem of Calculus
Area Between Curves and The Substitution Method
The Shell Method and Arc Length
Surface Area and Work (Springs)
More Work (Pumping Fluids out of Containers)
Center of Mass and the Theorem of Pappus
Separable Differential Equations
Trig Integrals A Tricky Trig Integral
Calculus with Parametrically Defined Curves Tricky Parametric Integrals
Problem Sets with Solutions
PS0 (Antiderivatives) PS(0) Solutions
PS1 (Riemann Sums) PS1 Solutions
PS2 (Integral Properties) PS2 Solutions
PS3 (Fundamental Theorem of Calculus) PS3 Solutions
PS4 (Area, U-Substitution) PS4 Solutions
PS5 (Volume of Solids) PS5 Solutions *Corrected Solution to #7
PS6 (Shell, Arc Length) PS6 Solutions *Answer to 5c should be 13/4
PS7 (Surface Area and Work) PS7 Solutions
PS8 (More Work, Fluid Force) PS8 Solutions
PS9 (Center of Mass, Pappus's Theorem) PS9 Solutions (1) Solutions (2)
PS10 (Separable DE's, Integral Practice) PS10 Solutions
PS11 (Integration By Parts) PS11 Solutions
PS12 (Partial Fractions) PS12 Solutions
PS13 (Trig Integrals) PS13 Solutions
PS14 (Trig Substitution) PS14 Solutions
PS15 (Improper Integrals) PS15 Solutions
PS16 (Trapezoid, Simpson's Rule) PS16 Solutions
PS17 (Calculus with Parametric Curves) PS17 Solutions
PS18 (Polar Equations) PS18 Solutions
Extra Notes and Midterm Practice Problems