Math 242 Mathematics for Engineering & Science III
SECTION:
QUARTER:
INSTRUCTOR:
CLASSROOM:
OFFICE NUMBER:
OFFICE HOURS:
PHONE:
E-MAIL:
PREREQUISITE: Math 241
WEB:
COREQUISITES: PHYS 201 and ENGR 122
COURSE GOALS: The student will become proficient in integration and optimization of single variable
functions. In addition the student will master techniques for solving first and second order differential
equations with constant coefficients and initial conditions. This proficiency will be demonstrated by
satisfactorily completing a series of exams and homework assignments.
TEXTBOOKS: Calculus: Concepts and Contexts by James Stewart, Notes on Differential Equations
and Statistics by B. Schroder, and A Custom Companion to Calculus by Thomson Learning
COURSE OUTLINE AND OBJECTIVES: The details are attached. To be covered are Concepts
Sections 4.9, 5.1-5.8, 6.1, 6.2, 6.5 and 7.2; Custom Companion Sections 10.1, 19A-C, and 20B; and
Modules EXB, FIR, LDT and LDλ in the Notes on Differential Equations and Statistics by Bernd
Schroeder.
ATTENDANCE REGULATIONS: Class attendance is regarded as an obligation as well as a privilege.
Attendance and class participation are mandatory. It is the student's responsibility to keep informed of any
announcements, syllabus adjustments or policy changes made during scheduled classes. Notify the
instructor in advance if you must miss class, arrive late for class, or leave early from class.
GRAPHING CALCULATOR: A graphing calculator that does at least as much as the TI-82 and access
to Mathcad will be required for the course, but TI-92 is not allowed. Graphing calculator is not allowed
for all tests, a regular scientific one is optional.
EXAMINATIONS & Makeup Policy: 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 unexcused 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 1--3
Homework
Final
Total
60% (20% each)
. 10%
30%
100%
STUDENTS NEEDING SPECIAL ACCOMODATIONS & RETENTION OF GRADED
MATERIALS: Students needing testing or classroom accommodations based on a disability should
discuss the need with the instructor during the first week of class. In the event of a question regarding an
exam grade or final grade, it will be the responsibility of the student to retain and present graded materials
which have been returned for student possession.
HONOR CODE: In accordance with the Academic Honor Code, students pledge the following: Being a
student of higher standards, I pledge to embody the principles of academic integrity. For details refer to
http://www.latech.edu/tech/students/honor-code.pdf.
Math 242 – Engineering Mathematics III – Course Outline
Texts: Calculus: Concepts and Contexts, 2nd Edition, Stewart, Brooks/Cole.
Notes on Differential Equations and Statistics, ?-Edition, B. Schroder.
Topic
4.9 and Companion 18 A-B Antiderivatives
Companion 19A-B: Area and Sums
Stewart 5.1: Areas and Distances
Companion 19C: Riemann Sums and Their
Interpretations;
Stewart 5.2: The Definite Integral
Stewart 5.3: Evaluating Definite Integrals;
Companion 20B: Other Interpretations of the
Definite Integral
Stewart 5.4: The Fundamental Theorem of
Calculus
Stewart 5.5: Substitution for Antiderivatives
Setwart 5.6: Integration by Parts
Comp. Section 10.1: Matrices and Systems of
Linear Equations
Stewart 5.7: Additional Techniques of
Integration
Stewart 5.8: Integration Using Tables and
Computer Algebra Systems
Stewart 6.1: More about areas
Stewart 6.2: Volumes
Stewart 6.5: Applications to Physics and
Engineering (Focus: Work)
EXB Examples and Basics of Differential
Equations
FIR.1 Separable ODEs
LD  .1 Solving Homogeneous Linear
Differential Equation with Constant Coefficients
LDT.3 Linear Algebra Interlude
LD  .3 Inhomogeneous Linear Differential
Equations
FIR.1 and LD  .1 Application problems
Stewart 7.2: Direction Fields
Stewart 7.2: Euler’s Method
FIR.4: Further Types of Solvable DE’s
Homework
Stew Pg. 334 # 2-3, 5-7, 9-13,16, 20, 35, 43, 45 Comp
18B Pg. 468 # 1-3
Comp 19A Pg. 477 # 4-6; Comp 19B Pg. 483 # 5
Pg. 355 # 2, 18-20
Comp 19C Pg. 492 # 1-2; Stew Pg. 367 # 5, 11, 17-18,
23, 24, 29-35, 39-43
Stew Pg. 377 # 1, 4, 12, 15, 21-24, 29-32, 37, 41,
45, 46, 49, 51-53; Comp 20B Pg. 506 #3-4
Pg. 386 # 1, 3, 5, 6, 7-9, 11-16, 18, 19, 24
Pg. 395 # 3-16, 19-32, 39-46, 51-52, 55-56
Pg. 401 # 4, 5, 8- 13, 16-21, 26, 28, 34
Pg. 535 # 3-7, 19-21
Pg. 408 #1,3,5,7, 9,10,11, 17,19,21,23,25,27,28
Pg. 414 # 3, 10, 11, 13, 15, 23, 27, 32-34
Stew. 6.1 #2, 3, 5, 6, 10, 12, 14, 15, 19, 20, 22, 25, 35
Stew. 6.2 #1, 2, 3, 8, 15, 21, 22, 23, 30, 35, 48
Stew. 6.5 #9, 10, 11, 13, 14
# 1, 3, 4
# 1a-j,2a-d/2e-j
# 1a-b,d-g,i-j,2a-c/
1c,h,2d-j
# 2,3c-e,h-j
# 1a-d/1e-j,4
# 5-6, Pg. 76 # 3-4,6
Stew. 7.2 Pg. 519 # 1,2,3,4,5,6,7, 21,22, 23,24
TBA
Note: The parts from B. Schroeder’s notes are not up-to-date. Double check before posting.
Instructional Objectives for MATH 242
At the end of this course the student will be able to:
1. Solve systems of linear equations.
2. Solve indefinite integrals
a) By substitution,
b) Using integration by parts,
c) Using partial fractions,
d) Using an integral table.
3. When given an indefinite integral
a) Select the appropriate method(s) to solve the integral,
b) Solve the integral using the method(s) determined.
4. Explain the definition of the definite integral to a physicist or a geometer.
5. Approximate a definite integral using Riemann sums.
6. Solve definite integrals
a) With the fundamental theorem of calculus,
b) Using the definition of the definite integral,
c) Using data given on related definite integrals.
7. Calculate the area between two curves.
8. Calculate the area enclosed by a parametric curve.
9. Explain how some areas calculated with integrals can be negative.
10. Calculate the volume of a solid using single integrals.
11. Compute the work done in certain lifting tasks
12. Classify differential equations as separable first order, homogeneous first order, Bernoulli,
linear homogeneous, linear inhomogeneous, Cauchy, or other.
13. Sketch the solution of an initial value problem when given the slope field of the differential
equation,
14. Solve the following types of differential equations and initial value problems involving these
equations
a) Separable first order,
b) Linear homogeneous equations with constant coefficients,
c) Linear inhomogeneous equations with constant coefficients and a variable
inhomogeneity.
15. Solve mixing problems.
16. Model a harmonic oscillator with a differential equation
a) Explain the physical interpretation of the coefficients in the differential equation,
b) Determine if the oscillator is overdamped, underdamped or critically damped,
c) Solve differential equations modeling the oscillator and calculate the total energy stored
in the oscillator at any time.