Syllabus for MA 1117 Segment 2 Single Variable Calculus
Text: Calculus Sixth Edition, by Larson Hostetler and Edwards, Houghton Mifflin.
CD: Interactive Calculus Version 2.0, by Larson, Hostetler, and Edwards, Houghton Mifflin
Internet Calculus: http://hmco.tdlc.com/ICALC.html
Hours Topic Section
1-1 Graphs, linear models, rates of change P.1, P.2
1-2 Functions, their graphs, fitting models to data P.3, P.4
3-5 Limits and their properties 1.1-1.5
1-6 The derivative and tangent line problem 2.1
3-9 Basic differentiation rules, product and quotient rules 2.2-2.3
2-11 The chain rule 2.4
Quiz 1
1-12 Implicit differentiation 2.5
1-13 Related rates 2.6
1-14 Extrema on an interval 3.1
2-16 Rolle's theorem and the mean value theorem 3.2
1-17 Increasing and decreasing functions 3.3
1-18 Concavity and the second derivative test 3.4
1-19 Limits at Infinity 3.5
1-20 A summary of curve sketching 3.6
1-21 Optimization problems 3.7
Quiz 2
1-22 Differentials 3.9
1-23 Antiderivatives and indefinite integration 4.1
1-24 Area 4.2
1-25 Riemann sums and definite integrals 4.3
2-27 The fundamental theorem of calculus 4.4
1-28 Integration by substitution 4.5
2-30 The natural log: differentiation and integration 5.1-5.2
1-31 Inverse Functions 5.3
1-32 Exponential functions: differentiation,integration 5.4
1-33 Bases other than e, applications 5.5
Quiz 3
2-35 Differential equations: growth and decay 5.6
1-36 Inverse trig. functions and differentiation 5.8
1-37 Inverse trig. functions and integration 5.9
1-38 Hyperbolic functions 5.10
1-39 Area of region between two curves 6.1
1-40 Volume by discs 6.2
1-41 Volume by shells 6.3
1-42 Arc length 6.4
1-43 Work 6.5
1-44 Basic integration rules 7.1
Quiz 4
1-45 Integration by parts 7.2
2-47 Trigonometric integrals and substitution 7.3-7.4
2-49 Partial fractions 7.5
1-50 Integration by tables 7.6
2-52 Indeterminate forms and L'Hopital's rule 7.7
2-54 Improper integrals 7.8
