Math 2413
Spring 2015
1.2: Finding limits graphically and numerically (Just the epsilon-delta proofs, Wednesday, January 21)
Homework Questions (Wednesday, January 21)
1.4: Continuity and one-sided limits (Monday, January 26 and Wednesday, January 28)
1.5: Infinite limits (Wednesday, January 28)
3.5: Limits at infinity (Monday, February 2)
2.1: The derivative and the tangent line problem (Monday, February 9 and Wednesday, February 11)
2.2: Basic differentiation rules and rates of change (Wednesday, February 11 and Monday, February 16)
2.3: The product and quotient rules and higher order derivatives (Monday, February 16)
2.4: The chain rule (Monday, February 16 and Wednesday, February 18)
2.5: Implicit differentiation (Wednesday, February 18 and Monday, February 23)
2.6: Related rates (Monday, February 23 and Wednesday, February 25)
3.1: Extrema on an interval (Wednesday, March 4)
3.2: Rolle’s Theorem and the Mean Value Theorem (Wednesday, March 4)
3.3: Increasing and decreasing functions and the First Derivative Test
3.3: Concavity and the Second Derivative Test (Monday, March 16 and Wednesday, March 18)
3.6: Curve Sketching (Wednesday, March 18 and Monday, March 23)
3.7: Optimization (Monday, March 23 and Wednesday, March 25)
3.9: Differentials (Wednesday, March 25)
4.1: Antiderivatives and indefinite integrals (Wednesday, April 1)
4.2: Area (Monday, April 6)
4.3: Riemann sums and definite integrals (Monday, April 6): File was corrupted. See notes from Fall or Summer 2014. Be sure to work through those last couple problems that we did not do in class.
4.4: The Fundamental Theorem of Calculus (Wednesday, April 8)
4.5: Integration by substitution (Monday, April 13 and Wednesday, April 15)
5.1: The natural logarithmic function – Differentiation (Wednesday, April 15
5.2: The natural logarithmic function – Integration (Wednesday, April 15 and Monday, April 20)
5.4: Exponential functions – Differentiation and integration (Monday, April 20)
5.6: Inverse trigonometric functions – Differentiation (Monday, April 27)
5.7: Inverse trigonometric functions – Integration (Monday, April 27 and Wednesday, April 29)
7.1: Area between curves (Wednesday, April 29)
5.8: Hyperbolic functions (Wednesday, April 29)