Download Math 250A Intermediate Calculus 1

Math 250A
Intermediate Calculus 1
Instructor: Gilles Cazelais
Office: CBA 158 (phone number: 370-4495)
Office hours: http://pacificcoast.net/∼cazelais/schedule.html
Email address: [email protected]
Course web page: http://pacificcoast.net/∼cazelais/250a.html
Textbook
Calculus Early Transcendentals (7th Edition) by Edwards and Penney.
Calculator Policy
Only scientific calculators are allowed for the tests and final exam. Programmable or graphing
calculators are not allowed.
Homework
A list of suggested homework questions will be posted on the course web page. These homework
questions will not be turned in, but complete understanding of them will be essential for success in
the course.
Evaluation
· Three term tests:
· Comprehensive final exam:
50%
50%
To pass the course, a student must get at least 50% on the final exam.
If your term work is at least 50% and you get 60% or higher in the final exam, then you will receive
a C in the course even if your overall average is under 60%.
Otherwise, the following percentage conversion to letter grade will be used:
Percentage:
Letter grade:
0–49
F
50–59
D
60–64
C
65–69
C+
70–72
B-
73–76
B
77–79
B+
80–84
A-
85–89
A
90–100
A+
Tentative Schedule
Test 1
January 29
Test 2
February 22
Test 3
March 11
Final exams are held from March 21 - 25. You must be available at the scheduled time.
Course Outline
1. Review
· Limits and Continuity (2.2 - 2.4)
· Differentiation Rules (3.2 - 3.4)
· Trigonometric, Logarithmic, and Exponential, Functions (3.7 - 3.8)
· Implicit Differentiation (3.9)
· Integration (5.6 - 5.8)
· Inverse Trigonometric Functions (6.8)
2. Limits
· Indeterminate Forms and L’Hôpital’s Rule (4.8)
· More Indeterminate Forms (4.9)
3. Integration Techniques, L’Hôpital’s Rule, and Improper Integrals
· Integral Tables and Simple Substitutions (7.2)
· Integration by Parts (7.3)
· Trigonometric Integrals (7.4)
· Rational Functions and Partial Fractions (7.5)
· Trigonometric Substitution (7.6)
· Integral Involving Quadratic Polynomials (7.7)
· Improper Integrals (7.8)
4. Polar Coordinates and Parametric Curves
· Analytic Geometry and the Conic Sections (9.1)
· Polar Coordinates (9.2)
· Area Computations in Polar Coordinates (9.3)
· Parametric Curves (9.4)
· Integral Computations with parametric Curves (9.5)
· Conic Sections and Applications (9.6)
5. Infinite Series
· Introduction (10.1)
· Infinite Sequences (10.2)
· Infinite Series and Convergence (10.3)
· Taylor Series and Polynomials (10.4)
· The Integral Test (10.5)
· Comparison Tests for Positive-Term Series (10.6)
· Alternating Series and Absolute Convergence (10.7)
· Power Series (10.8)
· Power Series Computation (10.9)
6. Vectors and Curves
· Vectors in the Plane (11.1)
· Three-Dimensional Vectors (11.2)
· The Cross Product of Vectors (11.3)
· Lines and Planes in Space (11.4)
· Curves and Motion in Space (11.5)
· Curvature and Acceleration (11.6)
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