Math 2413
Calculus I

Below are links to the notes from during my Summer 2014 class (with solutions worked out, etc.).
Note: The curriculum for the last portion of the course has changed slightly. The summer class covered volumes and work; the fall class will not cover these topics. (These topics have been moved to Calculus 2.)

1.2: Finding limits graphically and numerically (Monday, June 2)
1.3: Evaluating limits analytically (Tuesday, June 3)
1.4: One-sided limits and continuity (Wednesday, June 4)
1.5: Infinite Limits (Wednesday, June 4)
3.5: Limits at infinity (Thursday, June 5)
2.1: The derivative and the tangent line problem (Thursday, June 5)
2.2: Basic differentiation rules and rates of change (Monday, June 9)
2.3: Product and quotient rules and higher order derivatives (Tuesday, June 10)
2.4: The Chain Rule (Tuesday, June 10)
2.5: Implicit differentiation (Tuesday, June 10 and Wednesday, June 11)
2.6: Related Rates (Wednesday, June 11 and Thursday, June 12)

3.1: Extrema on an interval (Thursday, June 12 and Monday, June 16)
3.2: Rolle’s Theorem and the Mean Value Theorem (Monday, June 16)
3.3: Increasing and decreasing functions and the First Derivative Test (Monday, June 16 and Tuesday, June 17)
3.4: Concavity and the Second Derivative Test (Tuesday, June 17)
3.6: Summary of Curve Sketching (Tuesday, June 17 and Wednesday, June 18)
3.9: Differentials (Wednesday, June 18)
3.7: Optimization Problems (Thursday, June 19)

4.1: Antiderivatives and Indefinite Integration (Thursday, June 19)
4.2: Area (Monday, June 23)
4.3: Riemann sums and definite integrals (Monday, June 23)
4.4: Fundamental Theorem of Calculus (Monday, June 23 and Tuesday, June 24)
4.5: Integration by Substitution (Tuesday, June 24 and Wednesday, June 25)
7.1: Area of a region between two curves (Wednesday, June 25)
7.2: Volume – the disk method (Thursday, June 26)
7.3: Volume – the shell method (Monday, June 30)
7.3: Volume – the shell method (Neater version that I wrote out at home last Friday.)
5.1: The natural logarithmic function – differentiation (Tuesday, July 1)
5.2: The natural logarithmic function – integration (Tuesday, July 1)
5.4: Exponential functions – differentiation and integration (Wednesday, July 2)