Calculus for Engineering I
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Syllabus

 

 

WEEK DATES TOPICS CHAPTERS
1   Lines, Circles, Functions, Graphs. 1.1 - 1.2
2   Trigonometric, Exponential, Inverse and Logarithmic Functions.  1.3 - 1.6
3   Limits  2.1 - 2.3
4  r One Sided Limits, Continuity  2.4 - 2.5
5   Limits Involving Infinity  2.6
6   Derivative, Chain Rule  3.1 - 3.6
7   Implicit Differentiation, Derivatives of Inverse Trigonometric Functions  3.7 - 3.9, 3.11
8   Extreme Values, First Derivative Test  4.1 - 4.3
9   Concavity, Curve Sketching  4.4
10   Indeterminate Forms, Optimization  4.5 - 4.6
11   Integrals, Fundamental Theorem of Calculus  4.8 - 5.4
12   Substitution, Areas, Integration by Parts  5.6, 8.1
13   Trigonometric Integrals, Trigonometric Substitutions  8.2 - 8.3
14   Partial Fractions, Improper Integrals  8.4, 8.7