Calculus I, Fall 2007
Prof. Michael Shelley, WWH1105, shelley@cims.nyu.edu,
212-998-3284
Tuesdays and Thursdays, Tisch UC57, 8:55-10:45
Office Hrs: Mondays, 3:30-4:30 and Fridays 11:00-12:00
Final Exam: Monday, December 17th, 12:00-1:50 at Cantor
Film Center 101 (Cant 101)
Special OHs before exam: Saturday 3-4 and Sunday 3-4
Text: Stewart's Essential Calculus -- Early
Transcendentals
Test 1: October 2 (Chapters 1 and 2;
20% of grade)
Practice
Exam 1
Practice
Exam 2
Test 2: November 1 (20% of grade)
Practice
Problems for Exam 2
Homework 1, due Sept. 18th:
Section 1.1:
33, 37, 42, 60
Section 2.2: 6, 16, 37, 41, 43, 46, 47,
50, 52
Section 1.3: 12, 27, 39, 41
Section 1.4 1(f,h), 2, 17, 18, 20,
31, 43, 45
Worked Solutions
Homework 2, due Sept. 20th:
Section 1.5: 3, 6, 7, 29, 21, 31, 35
Section 1.6: 2, 19, 23, 26, 27, 31, 38
Section 2.1: 3, 5, 12, 15, 17, 29, 47
Section 2.2: 3, 19, 21, 30, 39, 41
Worked Solutions Part 1
Worked Solutions Part 2
Homework 3, due Sept. 27th
Section 2.3: 17, 19, 20, 26, 31, 54, 62
Section 2.4: 27, 29, 17, 25, 42, 46, 52
Section 2.5: 7, 17, 21, 30, 36, 37, 38, 55, 60, 69
Worked Solutions Part 1
Worked Solutions Part 2
Worked Solutions Part 3
Homework 4 (due Oct. 4th) :
Section 2.6: 5, 13, 14, 17, 23, 32, 36, 38
Section 2.7: 3, 7, 11, 14, 20, 25, 31, 36
Section 2.8: 3, 10, 13, 18, 20, 21, 23, 28
Worked Solutions Part 1
Worked Solutions Part 2
Worked Solutions Part 3
Homework 5 (due Oct. 11th) :
Section 3.1: 16,18,19,25,31
Section 3.2: 19,23,26,28,35,53,68,73
Section 3.3: 11,13,14,39,44,49,57,61
Section 3.4: 3,6,8,15,19
Worked
Solutions Part 1
Worked Solutions Part 2
Worked Solutions Part 3
Worked Solutions Part 4
Homework 6 (due October 18th):
Section 3.5: 5, 8, 10, 20, 23, 38
Section 3.6: 8, 9, 32, 33
Section 3.7: 10, 13, 24, 27, 34, 43
Section 4.1: 27, 36, 43, 48
Section 4.2: 4, 17, 19, 27, 29, 30, 32
Worked Solutions Part 1
Worked Solutions Part 2
Worked Solutions Part 3
Worked Solutions Part 4
Worked Solutions Part 5
Homework 7 (due October 30):
Section 4.3: 4, 9, 14, 23, 32, 39, 50
Section 4.4: 17, 38
Section 4.5: 7, 12, 23, 35, 40, 44
Section 4.6: 3, 5, 11, 21, 25
Worked Solutions Part 1
Worked Solutions Part 2
Worked Solutions Part 3
Worked Solutions Part 4
Homework 8 (due November 13):
Section 5.1: 13, 20 (hint: Law of Sines may be useful)
Section 5.2: 15, 26, 30, 36, 39, 41
Section 5.3: 7, 23, 28, 42, 61
Section 5.4: 6, 13, 16, 19, 24, 31
Homework 9 (due November 27):
Section 5.5: 4, 12, 16, 21, 30, 37, 44, 64
Section 6.1: 5, 10, 17, 23, 27, 39
Section 6.2: 6, 11, 17, 24, 34, 41, 51, 55, 62
Section 6.3: 3, 4, 9, 16, 21, 28, 33, 41
Homework 10 (due December 6):
Section 6.5: 6, 9, 14, 17, 24, 36
Section 6.6: 1, 6, 9, 14, 22, 44, 45, 48, 58
Section 7.1: 2, 7, 12, 21, 28, 33
Final Exam Practice Exercises:
download a zip file with
solution pdfs
Chapter 1:
Section 1.1: 28, 35, 57
Section 1.2: 39, 46, 62
Section 1.3: Know the definition of a limit, 3, 4
Section 1.4: Know the laws of limits; know the Squeeze Theorem, 21, 23,
31, 46
Section 1.5: Know the definitions of continuity; know the intermediate
value theorem, 16, 22, 29, 33, 37, 39
Section 1.6: 2, 22, 25, 30, 43, know the result of problem #55
Chapter 2:
Section 2.1: Know the definition of the derivative, 28, 32
Section 2.2: 23, 26, 40
Section 2.3: 10, 16, 22, 24, 32, 65
Section 2.4: 8, 12, 18, 26, 39
Section 2.5: 4, 10, 14, 26, 30, 36, 58, 60
Section 2.6: 6, 8, 18, 34, 43
Section 2.7: 8, 9, 16, 28, 35
Section 2.8: 6, 12, 14, 25, 27
Chapter 3:
Section 3.1: 15, 24, 28
Section 3.2: Know the inverse function stuff, Know Laws of Logarithms,
16, 20, 32, 36, 44, 46, 50, 62, 66
Section 3.3: 6, 10, 20, 30, 40, 58, 65
Section 3.4: 10, 18, 20
Section 3.5: Know the inverse sin, cos, and tangent functions, 1, 2, 9,
16, 24, 25, 28, 37
Section 3.6: Know the definitions of hyperbolic sin, cos, and tangent,
2, 6, 26, 28, 45
Section 3.7: 4, 8, 20, 26, 32, 36, 48
Chapter 4:
Section 4.1: 5, 24, 34, 40, 46
Section 4.2: 2, 18, 20, 24, 31
Section 4.3: 2, 10, 28, 30, 38, 52
Section 4.4: 20, 43
Section 4.5: 4, 10, 17, 24, 48
Section 4.6: 6, 12, 16, 26
Section 4.7: This is basically covered in chapter #5: 20, 22, 49
Chapter 5:
Section 5.1: 14, 16
Section 5.2: 1, 12, 25, 35, 46, 47
Section 5.3: 15, 18, 20, 37, 43, 49, 54
Section 5.4: 5, 11, 20, 23, 33
Section 5.5: 6, 20, 33, 49, 56, 63
Chapter 6:
Section 6.1: 4, 9, 19, 22, 42, 44(a,b)
Section 6.2: 5, 13, 16, 25, 37, 44, 45, 58
Section 6.3: 2, 15, 22, 30, 36, 42
Section 6.5: 5, 16, 20, 40
Section 6.6: 7, 10, 19, 27, 29, 34, 46, 57
Chapter 7:
Section 7.1: 5, 10, 16, 25, 32