DATE SECTIONS DESCRIPTION
5/26 1.1, 1.2 Precalculus Review: Real line, coordinate plane,
distance, circles, straight lines.
5/27 1.3 Precalculus Review: Functions, graphs.
Trig review: Radians, definition of trig functions,
graphs of sin, cos, tan, sec.
5/28 2.1, 2.2 Quiz #1
Limits: Definition and discussion of intuitive meaning.
Rules for limits, computing limits of algebraic functions.
One sided limits, squeeze theorem, limits for trig
functions, infinite limits.
6/1 2.2 Continued from previous day.
6/2 2.3 Continuity, intermediate value theorem, finding roots.
6/3 2.4 Exponentials and logarithms: Definition of e,
properties and inverse relation of exp and ln.
Compound interest, future value, exponential
population growth.
6/4 3.1 Quiz #2
Definition of the derivative: Direct calculation of
derivatives.
Relation between the graph of f and the graph of f'.
Continuity and differentiability.
6/8 3.2, 3.3 Calculation: Sum, product and quotient rules.
Higher order derivatives.
Differentiation of exponential and trig functions.
6/9 3.4 The derivative as a rate of change. Velocity and acceleration.
6/10 3.5 Chain rule.
6/11 3.6 Quiz #3
Implicit differentiation.
Derivatives of log and exp to other bases.
Derivative of log(|u|).
Logarithmic differentiaion
6/15 3.7 Related rates.
6/16 3.8 Linear approximation. Differentials.
Error and relative error of measurement.
Marginal analysis.
6/17 Review Chapters 1-3.
6/18 Midterm
6/22 4.1 Optimization of a continuous function on a bounded interval.
6/23 4.2, 4.3 Mean value theorem. First and second derivative analysis
and curve sketching.
6/24 4.3 Continued from previous day.
6/25 4.4, 4.5 Quiz #4
Limits as x approaches plus or minus infinity.
Horizontal and vertical asymptotes, L'Hopitals's rule.
6/29 4.4, 4.5 Continued from previous day.
6/30 4.6 Optimization applications: Physical problems.
7/1 4.7 Optimization applications: Marginal analysis and profit
maximization, inventory problems, physiology problems.
7/2 5.1 Quiz #5
Antiderivatives.
7/6 5.2, 5.3 Riemann sums and the definition of definite integrals.
7/7 5.2, 5.3 Continued from previous day.
7/8 5.4 Fundamental theorems of calculus.
7/9 5.5 Quiz #6
Substitution method for both indefinite and definite
integrals.
7/13 To be determined.
7/14 To be determined.
7/15 Review for Final.
7/16 Final