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Math 1501: Honors Calculus I

Topics covered: Real numbers, proof by induction, functions, definition by recursion, limits, continuity, derivatives and applications, definite integral, Fundamental Theorem of Calculus and inverse functions. Applications using computer software packages. Emphasis on theory. Prerequisite: MATH 1015 or appropriate placement. 4 credits

General Info:

Practice Exams

Maple and Other Stuff

Lectures

Assignments

• Practice for Final
• Practice Exam 3 (with Answers)
• Sect 4.4, Page 234: #15, 19
Sect 4.5, Page 241: #1, 2, 4, 7, 9, 19, 23, 24, 31, 32, 33, 34, 42, 45, 47, 49
• Sect 4.4, Page 234: #9, 10, 23, 13
Sect 5.2, Page 261: #13, 15, 16, 17, 31, 32, 40
• Sect 4.4, Page 234: #1, 2, 3, 4, 5, 7, 8
• Sect 4.1, Page 203: #4, 5
Sect 4.2, Page 215: #1, 2, 19, 21, 31, 32 36
Sect 4.3, Page 225: #1, 3, 5, 7, 9, 11, 21, 25
• Sect 3.2, Page 154: 1, 5, 7, 11, 17, 23, 25
Sect 3.7, Page 189: 1, 3, 5, 9, 13, 16, 19, 29, 37, 41
• Practice Exam 2 (with Answers)
• Section 2.6, page 125: #3, 6, 9, 17, 19, 21, 23, 27, 29
Hint: to plot implicit functions with Maple, type e.g.:
with(plots);
implicitplot(x^2+y^2=1,x=-2..2,y=-2..2);
• Page 168: #12, 14, 15, 24
Page 148: #35, 36, 37, 42, 57, 60
Maple Project 1 due
• Page 161: #1, 3, 4, 12, 15, 21, 25, 27, 33, 34
• Page 147: #1, 3, 11, 13, 14, 23, 27, 29, 31, 57
Page 161: only (a), (b) of #1, 3, 4, 21, 27
• Review derivatives
• From worksheet: rest of the problems
Page 111: #11, 14, 16, 22
Page 119: #1, 8, 15, 17, 23, 27, 30, 34, 56, 58
• From worksheet:
• fill in definitions and theorems (except chain rule) and memorize
• determine which rules apply but don't take derivatives for problems 1 to 7, 14, 15, 16, 19, 20
• Page 104: 5, 17, 19, 26, 29, 36, 38, 42, 47, 48
Page 111: #5, 6, 15
Review all  definitions and theorems
• Page 83: #47, 48
Page 92: #3, 4, 18, 27, 29
Page 104: #1, 2, 11, 16, 21, 27
• Page 66: #2, 3, 5, 14, 15, 19, 20, 21, 23, 29, 31, 44
Page 80: #1 (a,b,c), 8 (a,b), 9, 11, 14, 15, 23
• Page 54:#1, 2, 4, 13, 14, 15, 16, 17, 25, 27, 29, 30, 31, 32, 33, 37, 38, 41