MAT 141 - Honors Calculus I
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The following is a
tentative
syllabus for the class.
Week
Dates
Topic
Textbook sections
Notes
1
8/29-9/2
Real numbers: field axioms. Integers. Math. induction. Completeness axiom. Application: existence of roots and power function.
I 3.1 - 3.14
2
9/5-9/9
9/5: Labor day, no classes
3
9/12-9/16
4
9/19-9/23
Integral calculus: definition, integrability of piecewise monotonic function, basic properties, integral of power function.
1.1 - 1.25
5
9/26-9/30
6
10/3-10/7
10/3-10/5:No classes (Rosh Hashanah)
7
10/10-10/14
8
10/17-10/21
Some applications of integral
2.1 - 2.3, 2.12, 2.16
10/21: Midterm
9
10/24-10/28
Limits and continuous functions. Integrability of elementary functions
3.1 - 3.20
10
10/31-11/4
11
11/7-11/11
12
11/14-11/18
Derivatives - definition, geometric interpretation, derivatives of elementary functions, derivatives of exponential and trigonometric functions. Chain rule.
4.1 - 4.21
13
11/21-11/25
11/24-11/25: Thanksgiving break
14
11/28-12/2
15
12/5-12/9
Fundamental theorem of calculus
5.1 - 5.3
16
12/12-12/16
Review
12/13: Last day of classes (follows Thursday schedule)
12/21
Final exam