MATH 1700 Calculus I, Science & Engineering
Schedule for Week 14. Quiz on Wednesday, December 3: problems from Sections 6.7 and 6.8.
Course description: This is the first of a two-semester sequence in differential and intgral calculus, and part of a four-semester sequence of core mathematics courses required by most engineering and science programs. Math 1700 is also suitable for some mathematics majors. Topics include: vectors, their operations and applications, functions, limits, continuity, techniques and applications of differentiation and integration and fundamental theorem of calculus. This is roughly corresponding to Chapters 1-6 of the text. Students are responsible for all material in the text and all material presented in class. This includes any material not in the text and all material in the text that was not presented in class.
A list of problems to work will be placed at the course webpage (see homework problems). Your homework will not be collected. But we'll have a quiz each Thursday. It is recommended to keep your homework to use in preparation for quizzes,
mid-term and final exams. If you have any questions about problems, please ask them in class or during
office hours.
Textbook: Calculus with Early Vectors by Zenor, Slaminka and Thaxton, Prentice-Hall, 1999 .
Office and Classes Hours : see schedule .
Week 1: September 02 - September 05
Topics for reading
- Section 1.1
- Section 1.2 Graphs in and
- Section 1.3 Algebra in
Week 2: September 08 - September 12
Topics for reading
Quiz on Thursday, September 11: problems from Sections 1.2-1.4
- Section 1.3 Algebra in
- Section 1.4 The dot product
- Section 1.5 Determinants, areas and volumes
Week 3: September 15 - September 19
Topics for reading
- Section 1.6 Equations of lines and planes
- Section 2.1 Functions
- Section 2.2 Functions and graphing technology.
- Section 2.3 Functions from to
- Section 2.4 The wrapping function and other functions
Week 4: September 22 - September 26
Topics for reading
- Section 2.5 Sketching parametrized curves
- Section 2.6 Composition of functions
- Section 3.2 Limits: an intuitive approach
- Section 3.3 Instantaneous rate of change: the derivative
Week 5: September 29 - October 03
Topics for reading
- Section 3.3 Instantaneous rate of change: the derivative
- Section 3.4 Linear approximations of functions
- Section 3.5 More on limits
Week 6: October 06 - October 10
Topics for reading
- Section 3.6 Limits: a formal approach
- Section 4.1 Differentiation rules: sum and product rule
- Section 4.2 The quotient rule
First mid-term exam on Thursday, October 9 will cover Chapters 1,2 and 3 .
Week 7: October 13 - October 17
Topics for reading
Quiz on Thursday, October 16: problems from Sections 3.6, 4.1, 4.2 and 4.3
- Section 4.2 The quotient rule
- Section 4.3 The chain rule. Derivatives of ln and exp functions
- Section 4.4 Implicit differentiation
Week 8: October 20 - October 24
Topics for reading
- Section 5.4 Concavity
- Section 5.3 Increasing and decreasing curves
Quiz on Thursday, October 23: problems from Sections 4.3, 4.4 and 5.2
Week 9: October 27 - October 31
Quiz on Thursday, October 30: problems from Sections 4.3, 5.4 and 5.2
- Section 4.4 Implicit differentiation
- Section 5.2 Increasing and decreasing functions
- Section 5.4 Concavity
Week 10: November 03 - November 07
Topics for reading
Quiz on Thursday, November 6: problems from Sections 4.3, 5.3 and 5.4
- Section 5.1 Asymptotes
- Section 5.3 Increasing and decreasing curves
- Section 5.4 Concavity of curves
- Section 5.7 Applications of maxima and minima
Week 11: November 10 - November 14
Topics for reading
- Section 5.7 Applications of maxima and minima
- Sections 4.5 Taylor polynomials
- Section 5.8 Reminder terms for Taylor formula
Week 12: November 17 - November 21
Topics for reading
- Section 6.1 Antiderivatives and the integral
- Section 6.2 Substitution in integrals ( The chain rule in reverse )
- Section 6.3 Acceleration, velocity, and position
- Section 6.4 Antiderivatives and Area
Quiz on Thursday, November 20
Week 13: November 24 - November 26
Topics for reading
- Section 6.3 Acceleration, velocity, and position
- Section 6.4 Antiderivatives and Area
Week 14: December 01 - December 05
- Section 6.3 Area and Riemann Sums
- Section 6.6 The Definite Integral
- Section 6.8 Fundametal Theorem of Calculus
- Section 6.7 Volumes
Week 15: December 08 - December 12
Topics for reading
Homework Problems
Note that problems marked with * are extra.
Section 1.1 (p.7) #1, 3, 5, 8, 13, 15, 23
Section 1.2 (p.13) #1, 3, 4, 6, 12, 13, 18, 20, 30
Section 1.3 (p.21) # 3, 4, 9,10, 12, 20, 23, 25, 31
Section 1.4 (p.25) # 4, 6, 9, 13, 14, 17, 28, 37
Section 1.5 (p.35) # 1, 3, 7, 8, 17, 29, 31, 33
Section 1.6( p. 45) # 2, 3, 7, 14, 18
Section 2.1(p.51) # 1, 2, 5, 6, 12, 16, 18, 20, 21, 26,
Section 2.2(p.54) # 1, 2, 6, 7, 11, 12
Section 2.3(p.62) # 1,2, 3, 15, 16, 20, 21, 25
Section 2.4(p.67) # 1, 2, 6, 8, 17, 16
Section 2.5(p. 71) # 11, 12, 13, 14
Section 2.6(p.81) # 1, 3, 7, 47, 48, 51, 53, 54
Section 3.2(p. 101) #1, 2, 4, 5, 9, 11, 13, 14, 15, 17
Section 3.3(p.113) #1, 2, 4, 5, 14, 15, 17, 18, 20, 21, 25, 26, 29, 33, 36, 37
Section 3.4(p.119) #2, 3, 4, 5 , 8, 9, 12
Section 3.5(p.133) #1, 2, 3, 4, 5, 6, 25, 32, 33, 34, 35, 52
Section 3.6(p.141) #1, 2, 3, 4, 7
Section 4.1(p.151) # 3, 4, 5, 6, 7, 8, 11, 12, 13, 14, 15, 22, 23, 27, 30
Section 4.2(p.156) # 1, 2, 4, 5, 8, 9, 12, 13, 28, , 39, 40
Section 4.3(p.163) # 2, 4, 5, 8, 10, 12, 15, 17, 18, 21, 27, 32, 37, 40, 50, 56, 59, 60, 62, 63
Section 4.4(p.171) # 1, 2, 3, 7, 8, 10, 11, 13, 14, 15
Section 5.2 (p.208) # 1, 4, 5, 8, 9, 14, 18, 20, 22, 25, 29, 31, 32, 34, 36
Section 5.3 (p.219) # 2, 4, 7, 9, 13, 16, 19, 23, 28, 29, 30, 33, 35, 36, 39, 41, 43-45
Section 5.4(p.230) # 2, 6, 10, 14, 16, 19, 23, 26, 29, 34, 37, 39, 42, 46, 51, 52, 56, 57
Section 5.7(p.256) # 2, 3, 8, 11, 12, 15, 17, 20, 22
Section 4.4 (p.171) # 1, 5, 8, 10, 13, 15, 17, 20-22
Section 5.8 (p.268) #1,2,3,4
Section 6.1(p.278) # 1, 5, 10, 18, 19, 22, 26, 30, 31, 35, 39, 42, 43, 46, 50, 56-58, 64-66
Section 6.2(p.287) # 6, 10, 13, 15, 17, 21, 24, 28, 31, 35, 38, 40, 43, 46
Section 6.3(p.296) # 2, 5, 6, 10, 16, 18, 26, 29, 32, 37-41
Section 6.4(p.302) # 1, 2, 5, 8, 11, 12, 15, 18
Section 6.5 (p.312) # 1, 4, 7, 9, 12, 17
Section 6.8 (p.333) # 1, 4, 8, 9, 12, 14, 15, 18, 21, 23, 24, 26, 27, 28, 31, 33, 35, 38, 42, 43, 48
Section 6.7 (p.325) # 1,2,3, 6, 10
Exams
- First mid-term exam : Thursday,October 9
- Second mid-term exam: Thursday, November 13
- Final exam (comprehensive) : December 10, Wednesday at 12:30 pm-2:30 pm
Grades and Makeup Policy
Grades will be assigned using a sliding scale. The usual passing level "C" is between 65 % and 68%. Someone with 88% may get "A". After each test we'll get an approximate passing level. Do not panic if your grade seems low, come and talk with me about your perfomance.Various numbers below determine the relative weights of exams' and quizzes' grades: Total number of points 500. The final exam - 200 points. Each midterm exam - 100 points, quizzes grade - 100.In general, there will be NO makeups for exams. If you miss an exam for a valid well-documented reason then arrangements may be made on an individual basis.
Academic Integrity
You are responsible for making yourself aware of and understanding the policies and procedures in the Undergraduate Catalog (pp. 274-276) that pertain to Academic Integrity. These policies include cheating, fabrication, falsification and forgery, multiple submission, plagiarism, complicity and computer misuse. If there is reason to believe you have been involved in academic dishonesty, you will be referred to the Office of Student Conduct. You will be given the opportunity to review the charge(s). If you believe you are not responsible, you will have the opportunity for a hearing. You should consult with me if you are uncertain about an issue of academic honesty prior to the submission of an assignment or test.
Comments, questions, problems to ledyaev@wmich.edu .Last modified : November 20, 2008
