Math 241
SECTION: 006
Mathematics for Engineering and Science II
QUARTER: Winter 2002-03 TIME: 8:00-9:15
INSTRUCTOR: Bernd Schröder
CLASSROOM: GTM 303
OFFICE NUMBER: GTM 316
OFFICE HOURS: MWF 9:30-11:30, TR 8:30-10:00 (all GTM 316), 12:00-12:30 (BH 304/GTM 316)
PHONE: x-2422
E-MAIL: schroder@coes.LaTech.edu WEB: http://www.LaTech.edu/~schroder
PREREQUISITE: Math 240
COURSE GOALS: The student will become proficient in differentiating polynomial, rational, root, exponential, logarithmic,
and trigonometric functions (as well as compositions of such functions). The student will learn how to differentiate implicitly
and apply derivatives and trigonometric identities to solve selected problems including related rates and optimization. Finally,
the student will learn how to use series of to represent functions and how to use polynomials to approximate functions.
Students will demonstrate proficiency in these topics by satisfactorily completing a series of exams and homework
assignments.
TEXTBOOKS: 1) Calculus: Concepts and Contexts, 2nd Edition, by James Stewart.
2) A Foundation for Calculus, by Bernd Schröder
COURSE OUTLINE AND OBJECTIVES: Outline is attached. Objectives for the sections in Stewart can be downloaded
from the instructor’s web site. Objectives for the sections in Schröder are at the start of each module.
ATTENDANCE REGULATIONS: Class attendance is regarded as an obligation as well as a privilege. All students are
expected to attend regularly and punctually; Failure to do so may jeopardize a student’s scholastic standing and may lead to
suspension from the university.
HOMEWORK & QUIZ POLICY: Homework assignments, including due dates, are included in the enclosed outline.
There will be no make-ups for missed homework assignments.
GRAPHING CALCULATOR: A graphing calculator that does at least as much as the TI-82 will be required for the
course. Its use on exams will be at the discretion of the instructor .
EXAMINATIONS: There will three topical exams and a comprehensive final exam. If you have to miss an exam, you must
notify the instructor prior to the exam either in person or by phone. An unexpected absence from an exam will result in a zero
on that exam.
GRADE DETERMINATION POLICY: The grading scale will be: A = 90% - 100%; B = 80% - 89%; C = 70% - 79%;
D = 60% - 69%; F = 0% - 59%. The course grade will be calculated as follows:
Exams I---III
60% (20% each)
Homework Avg.
10%
Final
30%
Total
100%
STUDENTS
NEEDING SPECIAL ACCOMODATIONS: Students needing testing or classroom
accommodations based on a documented disability should discuss the need with the instructor during the first week
of classes.
GRADE APPEAL: In the event of a question regarding an exam grade or final grade, it will be the responsibility
of the student to obtain, retain and present graded materials which have been returned for student possession during
the quarter.
Day
Wed. 12-4-02
Fr. 12-6-02
HW due
Mo. 12-9-02
Wed. 12-11-02
HW due
Fr. 12-13-02
Topic - Text* & Section
Derivs. Of Plyns. & Expontls. – Stew 3.1
Prod. & Quot. Rules - Stew 3.2
Homework Assignment
p.196 # 3,5,9-10,13-14,18,30,33,37-38,39,42-43,49
p.204 # 1,2,4,6,10,12-13,15,19,23,26,29,30,34
Chain Rule - Stew 3.5
Trigonometric Identities, TRD.1
Mo. 12-16-02
HW due
Wed. 12-18-02
Trig Sum Identities, TRD. 2
Fr. 12-20-02
EXAM 1
Mon. 1-6-03
HW due
Wed. 1-8-03
Derived Identities, TRD.3
Fr. 1-10-03
HW due
Mon. 1-13-03
Implicit Differentiation - Stew 3.6
p.233 # 3-4,8,9,21-24,32,37-40,50,69
TRD.1 # please check handout
Stewart p.233 # 5,15
TRD.1 # please check handout
Stewart p.233 # 3,13
TRD.2 # please check handout
Stewart p.233 # 33,35
p.225 # 2-4,11-15,26-29,31,37-39
p.234 # 10,11,58,
Stewart 3.1, 3.2, 3.4, 3.5,
Schroeder TRD.1-2
TRD.3 # please check handout
Stewart p. 259 # 2,24
p.215 # 1,3-4,6-10,14,22
Stewart p. 259 # 6,29
p.243 # 1-2,4-8,13-14,27-30,33,47,54
Stewart p. 259 # 5,26
p.250 # 2-5,13-16,19-21,27-30
Wed. 1-15-03
HW due
Fr. 1-17-03
Related Rates - Stew 4.1
Wed. 1-22-03
HW due
Fr. 1-24-03
Mon. 1-27-03
HW due
Wed. 1-29-03
Fr. 1-31-03
HW due
Mon. 2-3-03
Extrema of Functions - Stew 4.2
p.269 # 1-2,4-6,15,17
Stewart p. 259 # 19,28
p.270 # 19,21,26,27,28,34
Stewart p. 259 # 11,30
p.276 # 5-10,13,15-17,28,33-38
EXAM 2
Optimization, Stew. 4.6
Cumulative
p. 312 #2,4,7,8,10,13,19,36
Optimization, Stew. 4.6
Derivs. & Shapes of Curves – Stew 4.3
p.312 # 18,20,33,38,40,41
p.288 # 1-2,5,6,8,9,10,12,21,23,24,26,39
Graphing with Calculators - Stew 4.4
Wed. 2-5-03
HW due
Fr. 2-7-03
Newton-Raphson Mtd. - Stew 4.8
Mon. 2-10-03
HW due
Wed. 2-12-03
Fr. 2-14-03
Mon. 2-17-03
HW due
Wed. 2-19-03
Linearization & Differentials - Stew 3.8
p.297 # 1-2,9,17,25,29
p.312 # 28
p.327 # 1,5-6,8-10,18-21,23,27
p.312 # 22
p.305 # 5-9,11,13-15,22-26,47,55
p.312 #15
p.256 # 3-5,7,9,13,15-17,20
p.312 # 26
SoN.4 #1b,c, 2b,c, 3b,d, 4a,b, 5b,c, 6a,e,f,g,h, 7c, 8
Stewart 4.3-4.6, 4.8, 3.8, Schröder SoN.4
SoN.5 #1a,c,f, 2a,d, 4a,c,d,e,g
Fr. 2-21-03
HW due
Mon. 2-24-03
Wed. 2-26-03
Trig Equations, TRD.1
Derivs. Of Trig Fns. – Stew 3.4
Rates of Change in Nature - Stew 3.3
Derivs. Of Logarithms - Stew 3.7
Related Rates - Stew 4.1
L'Hospital's Rule – Stew 4.5
Schröder SoN.4: Series of Numbers
EXAM 3
Schröder SoN.5: Some Convergence
Tests
Schröder SoF.1: Power Series
(Schröder SoF.2)
Schröder SoF.3: Taylor Series
SoF.1 #1a,b,d, 2c,d, 5
SoF.2 #1a,b, 2a,b, 5
SoF.3 #1a,b,c,d, 2e, 3
Schröder SoF.4: Error Estimates for Taylor SoF.4 #1b,f, 2a,b,c, 3a, 7a,b
Series
FINAL EXAM
Cumulative
* Stew = Calculus Concepts & Contexts by Stewart
Sections SoN, SoF and TRD can be found in Schröder’s “A Foundation for Calculus”. Inquire with
your instructor if you don’t have module TRD.