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).