Math 2313 Calculus One

This course cover basic differential and integral calculus. Topics are covered from algebraic, numerical, graphical, and verbal perspectives. Maple is used both for graphing and for its computer algebra system. This syllabus is based on three 50 minute classes per week.
Day Section Topic(s) Homework
1 1.1 Function review Read 1.1,1.7 Work 1.1: 2,8,10,17,19,31,51
21.7 Parametric equations Work 1.7: 4,6,12,17,20a,b , 27, 30a,c
3Lab 1 Graphing in Maple Work Lab HW. Read 2.1
4 2.1 Tangents and velocity problem Work 2.1: 2,5,8,9. Read 2.2,2.3
5 2.2,2.3 Limit of function, limit laws Work 2.2: 1,2,8,9,22 & 2.3: 1b,c,f,g,2a,b,e,8,9,15. Read 2.4
62.4 Continuity Work 2.4: 2,4,6,8,14,30,32. Read 2.5
72.5Limits involving infinity Work 2.5: 1,4,6,21,23,27. Read 2.6
82.6Tangents and velocity, rates of change Work 2.6: 1,2,3,13,14,19,22. Read 2.7
92.7 DerivativesWork 2.7: 2,3,10,12,28,33. Read 2.8
102.8Derivative as function Work 2.8: 1,3,4,19,30,31,36,48. Read 2.9
11 2.9Linear approximation, Lab 2Work Lab HW, 2.9: 2,6,7,10,13. Read 2.10
122.10What f'says about f Work 2.10: 2,5,6,8,20,27. Read 3.1
133.1 Derivatives of polynomials & exponential functions Study for exam Ch 1
14Exam 1 Chapters 1 & 2 Work 3.1: 1,2,9,14,19,20, 22,24 32,36,38,42,56. Read 3.2
153.2Product and quotient rulesWork 3.2: 1,2,4,7,8,9 ,13,16,20,22,28,31,32,34,35. Read 3.3
163.3Rates of change in natural & social science Work 3.3: 1,10,15,20,23,29. Read 3.4
173.4 Derivatives of trig functions Work 3.4: 4,7,10,14,15,18,20,25,30,37,40. Read 3.5
183.5 Chain rule Work 3.5: 3,6,7,16,17,19.
193.5 Chain rule Work 3.5: 21,27,31,38,40,42,44,53,55,59,73. Read 3.6
203.6Implicit differentiation Work 3.6: 1,4,13,18,21,39,43. Read 3.7
213.7Logartihmic differentiationWork 3.7: 1,2,5,6,10,20,35,41. Read 3.8
223.8,Lab 2 Linear approximation,differentials Work Lab HW & 3.8: 1,10,13,15.19. Read 4.1
234.1Related ratesStudy for Exam 2;Ch 3.
24Exam 2Chapter 3Work 4.1: 2,5,6,25,33. Read 4.2
254.2 Extrema Work 4.2: 1-3,6,7,9,12,27,39,55 Read 4.3
26 4.3 Derivatives and curve sketching Work 4.3: 1-7,12,18.
274.3 Derivatives and curve sketching Work 4.3: 20,23,26,29,41. Read 4.4
28 4.4, Lab 3 Graphing with computers and calculus, curve families Work Lab HW, 4.4: 2,4,19,27,30 Read 4.5,4.6
29 4.5,4.6 L'hopital's rule, optimization Work 4.5: 1a,c,d,4a,b,d,10,12,33,54.
30 4.6 Optimization Work 4.6: 4,7,8,16,19. Read 4.7,4.8.
314.7,4.8 applications to economics , Newton's method Work 4.7: 1,3-5,15 & 4.8:1,4,6,9. Read 4.9
324.9 Antiderivatives Work 4.9: 4,6,8,10,24,27,30, 33,37. Read 5.1
335.1 Areas, distance, Riemann sumsWork 5.1: 1-3,11,13,18. Read 5.2
345.2 Definite integral Work 5.2: 1,6,7,20,23,30,32,40,41
35Lab 4 Riemann Sums, definite integrals Work Lab HW. Read 5.3
365.3Evaluating definite integrals Study for exam Ch4, 5.1-5.2
37 Exam 3 Chapter 4, 5.1-5.2 Study for Maple Exam
38Maple Exam Problem solving with Maple in calculus Work 5.3: 1,2,4,12,18,28,49,57.
395.4 Fundamental Theorem of calculus Work 5.4: 3,4,12,18
405.4Fundamental theorem Work 5.4: 19, 22,24,27
41Ch1-5 review your choice