This is a brief summary of what was covered in each class.
May 1
Review.
Apr 29
Third Quiz.
Problems.
Apr 24
Problems.
Apr 22
Section 5.4: Indefinite Integrals and the Total Change Theorem.
Section 5.5: The Substitution Rule.
Apr 15
Section 5.3: The Fundamental Theorem of Calculus.
Apr 10
Section 5.2: The definite integral.
Apr 8
Section 5.1: Areas and distances.
Apr 3
Section 4.10: Antiderivatives.
Apr 1
Section 4.7: Optimization problems.
Section 4.9: Newton's method.
Mar 27
Midterm Exam.
Mar 25
Problem Section.
Mar 13
Problem Section.
Mar 11
Section 4.4: Indetermined forms and the L'Hospital's Rule.
Mar 6
Section 4.1: Maximum and minimum values.
Section 4.2: The Mean Value Theorem.
Section 4.3: How derivatives affect the shape of a graph.
Section 4.5: Summary of curve sketching.
Mar 4
Section 4.1: Maximum and minimum values.
Section 4.2: The Mean Value Theorem.
Section 4.3: How derivatives affect the shape of a graph.
Section 4.5: Summary of curve sketching.
Feb 27
Section 3.11: Linear approximations.
Section 4.1: Maximum and minimum values.
Feb 25
Section 3.3: Rates of change in the natural and social sciences.
Section 3.10: Related rates.
Feb 20
Section 3.3: Rates of change in the natural and social sciences.
Section 3.8: Derivatives of logarithmic functions.
Feb 18
Section 3.6: Implicit differentiation.
Section 3.7: Higher derivatives.
Section 3.9: Hyperbolic functions.
Section 3.10: Related rates.
Feb 13
Section 3.4: Derivatives of trigonometric functions.
Section 3.5: Chain rule.
Feb 11
Section 2.9: Derivative as a function; definition of differentiability; differentiability implies continuity.
Section 3.1: Derivatives of polynomials and exponentials; sum rule.
Section 3.2: Leibniz's rules.
Feb 6
Section 2.7: Tangents, velocities, and other rates of change.
Section 2.8: Derivatives.
Section 2.9: Derivatives as a function.
Feb 4
Section 2.2: Infinite limits; vertical asymptotes.
Section 2.4: Precise definitons of infinite limits.
Section 2.6: Limits at infinity; horizontal asymptotes.
Definition of e; lim(sin(x)/x), when x->0.
Jan 30
Section 2.2: Limits and one-sided limits.
Section 2.3: Limit laws; the Squeeze Theorem.
Section 2.4: Precise definiton of a limit; precise definitions of one-sided limits.
Section 2.5: Continuity; the Intermediate Value Theorem.
Jan 28
Definition of continuity.
Jan 23
Section 1.5: Exponential functions.
Section 1.6: Inverse functions and logarithms.
Continuity: intuitive notion.
Jan 21
Handout 2: Rational and real numbers; intervals.
Section 1.1: Functions.
Section 1.2: Linear, power, rational, algebraic, trigonometric, exponential, and transcendental functions.
Section 1.5: Exponential functions.