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This is a collection of useful materials. Mostly, it contains notes and exam materials. Occasionally, I will post neat links or helpful videos.

Notes

3.1: Integration by parts [notes]

3.2: Trigonometric integrals [notes]

3.3: Trigonometric substitution [notes]

3.4: Partial fractions [notes]

3.7: Improper integrals [notes]

3.6: Numerical integration [notes]

Midterm 01 Review [notes]

2.1: Areas between curves [notes]

2.2: Determining volumes by slices [notes]

2.3: Determining volumes by cylindrical shells [notes]

2.4: Arc length and surface area [notes]

2.5: Linear density and center of mass [notes]

2.5: Hydrostatic force and work [notes]

5.1: Sequences [notes]

5.2: Series [notes]

Midterm 02 Review [notes]

5.3: Divergence and integral tests [notes]

5.4: Comparison tests [notes]

5.5: Alternating series [notes]

5.6: Ratio and root tests [notes]

6.1: Power series [notes]

6.2: Properties of power series [notes]

Midterm 03 Review [notes]

6.3: Taylor series [notes]

7.1: Parametric equations [notes]

7.2: Calculus of parametric equations [notes]

7.3: Polar coordinates [notes]

Miscellaneous

First day overview. [Slides]

Midterm 01 Practice Exam [Exam][Solutions][Formula sheet]

Midterm 02 Practice Exam [Exam][Solutions][Formula sheet]

Midterm 03 Practice Exam [Exam][Solutions][Formula sheet]

Old exams

Some videos

A short page for the first fundamental theorem of calculus.

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