Textbook: Stewart, Calculus - Early Transcendentals, 4th Edition, Brooks/Cole
1999
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2. MATH-1620 COURSE OUTLINE
Chapter 6...................................................................8
6.1 Areas between Curves--------------------------------------------------2
6.2 & 6.3 Volumes---------------------------------------------------------3
6.4 Work------------------------------------------------------------------2
6.5 Average Value of a Function-------------------------------------------1
Chapter 7...................................................................9
7.1 Integration by Parts--------------------------------------------------2
7.2 Trigonometric Integrals-----------------------------------------------1
7.3 Trigonometric Substitution--------------------------------------------1
7.4 Integration of Rational Functions by Partial Fractions----------------2
7.8 Improper Integrals----------------------------------------------------3
Chapter 11.................................................................24
11.1 Sequences------------------------------------------------------------2
11.2 Series---------------------------------------------------------------2
11.3 The Integral Test and Estimates of Sums------------------------------2
11.4 The Comparison Tests-------------------------------------------------2
11.5 Alternating Series---------------------------------------------------2
11.6 Absolute Convergence and the Ratio and Root Tests--------------------2
11.7 Strategy for Testing Series------------------------------------------1
11.8 Power Series---------------------------------------------------------2
11.9 Representations of Functions as Power Series-------------------------3
11.10 Taylor and Maclaurin Series and their Applications------------------6
Chapter 12..................................................................5
12.1 Three-Dimensional Coordinate Systems-------------------------------0.5
12.2 Vectors and the Geometry of Space----------------------------------0.5
12.3 The Dot Product------------------------------------------------------1
12.4 The Cross Product----------------------------------------------------1
12.5 Equations of Lines and Planes----------------------------------------2
Chapter 10..................................................................4
10.1 Curves Defined by Parametric Equations-------------------------------1
10.2 Tangents and Areas---------------------------------------------------1
10.4 Polar Coordinates----------------------------------------------------2
Chapter 8...................................................................1
8.1 Arc Length------------------------------------------------------------1
TOTAL......................................................................51
Comment. Each topic on the syllabus is mandated by State Articulation
Requirements. However, several topics will be revisited in MATH-2630 and may
be treated rather briefly. Those topics are: Work (Section 6.4), Arc Length
(Section 8.1), Parametric Curves (Sections 10.1 & 10.2), Polar Coordinates
(Section 10.4), Vector Algebra, Lines and Planes (Sections 12.3-12.5).