SM161  Calculus I  with Computers    Fall 2000-2001
Syllabus

Link to Website
Texts: 

C =   Calculus   4-th edition  (James Stewart)
S  =  Supplementary Notes for Calculus with Computers  (Peter Turner)
M  =  MATLAB Introductory Notes   (Peter Turner)
 

Power Point Presentation

Note: The table below is based on the 5-day schedule. Slight adjustments will be made for the 4-day classes.

Dates Lessons SectionsTopic
Aug 21-22 1-3 M Ch 1, 2 Introduction, MATLAB basics
Aug 24 4 M 3.1, 3.2 MATLAB Arithmetic & Functions, eval
Aug 25-29 5-7 M 3.3, 3.4 MATLAB vectors: notation, array arithmetic
Aug 30-31 8, 9 M Ch 4 m-files (Save & Load, if desired)
Sep 1 10 M 5.3 plot
Sep 5-6 11, 12 M 6.1, 6.2 For loops, While loops
Sep 7 13   Review. Assign Project 1 (Basic MATLAB use)
Sep 8-12 14-16 S 1.1, 1.2 Sequences and limits of sequences
Sep 13-15 17-19 S 1.3, 1.4 Arithmetic of limits, Sandwich theorem
Sep 18-19 20,21 S 1.5 (M 6.1 Rev) Square-root algorithm
Sep 20 22   Review
Sep 21 23   TEST 1
Sep 22 24 M 6.4 (& 6.3) If... else...end
Sep 25-26 25, 26 S 2.1, 2.2 (M6.1 Rev) Summation notation, area, left & right sums
Sep 27-28 27, 28 S 2.3 Monotone functions & their integration
Sep 29 29 S 2.4 The integral
Oct 2-4 30-32 S 2.5, 2.6 Unicon functions & their integration
Oct 5 33   Assign Project 2 (Integration)
Oct 6-10 34, 35 S 2.7 Integral properties; areas
Oct 11 36   Review
Oct 12 37   TEST 2
Oct 13-16 38-39 S 3.2, C 2.5 Functional limits and Continuity
Oct 17-19 40-42 S 3.3 IVT, Bisection
Oct 20-23 43, 44 S 3.4, C 2.6 Slope, tangent, rate of change (velocity)
Oct 24 45 C 3.1, 3.2 Derivative
Oct 25-30 46-49 C 3.3-3.5, C 3.8 Diff rules, applications, trig diffs, higher derivatives
Oct 31 50   Review
Nov 1 51   TEST 3
Nov 2-3 52, 53 C 3.6 Chain Rule
Nov 6-8 54-56 S 3.5 Newton's method, assign Project 3 (Eqn solving)
Nov 9,13 57, 58 C 3.7, S 3.6 Implicit functions; assign Final Computer Project
Nov 14-20 59-63 C 4.1 - C4.5 Extremals, MVT, Curve sketching
Nov 21-27 64-66 C 3.9, C 3.10 Related rates, differentials
Nov 28-29 67, 68 C 4.7 Extremal problems
Nov 30 69 C 4.10 Antiderivatives
Dec 1-5 70-72 C 5.3, C 5.5 Fundamental Theorem of Calculus, Substitution
Dec 6 73   TEST 4

Reading Day: 07 December 2000
Final Examinations: 08,11-16 December 2000