- Week 1 Introduction, two-dimensional vectors, dot products.
Sections 1.1, 1.2.
- Week 2 Parameterized curves, (qualitative) definition of limit
and the calculation of limits. Sections
1.3, 2.2, 2.3. Examples from Section 2.1 on tangent and velocity can
be incorporated into Section 2.2 to motivate limits.
The concepts
of tangents and velocity will be revisited in later sections.
- Week 3 Limits at infinity,
continuity, velocity. Sections 2.5, 2.6, 2.7.
- Week 4 Differentiation and rates of change. Sections
3.1, 3.2, 3.3. Note.
- Week 5 Derivatives of the trigonometric functions,
the chain rule and EXAM I (Thursday, covering thru 3.3). Sections 3.4, 3.5.
- Week 6 Implicit differentiation, derivatives of vector-valued functions,
higher derivatives,
tangents of parameterized curves. Sections 3.6, 3.7, 3.8, 3.9.
- Week 7 Related rates, differentials and approximation, Newton's method
Sections 3.10, 3.11, 3.12.
- Week 8 Exponential and inverse functions,
logarithmic functions.
Sections 4.1, 4.2, 4.3.
- Week 9 Derivatives of logarithms, exponential growth and decay,
and EXAM II (Thursday, covering 3.4 - 4.3).
Sections 4.4, 4.5 .
- Week 10 Inverse trigonometric functions, L'Hospital's Rule, graphical interpretation
of the derivative.
Sections 4.6, 4.8, 5.1.
- Week 11 First and second derivative tests, applied Max/Min.
Sections 5.2, 5.3, 5.5 (5.4
on curve sketching with technology will be done in lab).
- Week 12 Antiderivatives,
Riemann sums, and the definite integral.
Sections 5.7, 6.1, 6.2, 6.3
- Week 13 The Fundamental Theorem of Calculus.
Section 6.4.
- Week 14 Substitution rule and EXAM III
(Tuesday, covering 4.4 - 6.4).
Section 6.5.
- Week 15 Review for FINAL. Last day of class
is Tuesday. Note that the last week of class has
redefined day(s). See Important Dates for details.