MATH-112  CALCULUS FOR SCIENTISTS AND ENGINEERS II

Calculus: Early Transcendentals,
2nd ed., Rogawski

Course Information (Spring 2013)

Vectors, applications and techniques of integration, infinite series, and an introduction to multivariate functions and surfaces.

Grading Policies          Recommended Problems

Student Development Services

Free Tutoring services are available to all CSM students for freshmen and sophomore courses, especially Calculus I, II and III, Differential Equations, Physics I and II, and Chemistry I and II. Check with Academic Services for details.

AMS Learning Center

Free Tutoring services are also available to all CSM students for core mathematics courses, especially Calculus I, II and III, Differential Equations in the newly developed AMS Learning Center in Stratton Hall 201.

Stop by and check out our new learning facility fully staffed by our majors and graduate students!

Current Session Information

A common course syllabus is available in pdf form.


Exam Information

Exam 1: Thursday Feb. 7, 6:30 - 8:00pm

Study Information:

Solutions may be posted following the exam. Check with your instructor regarding solution availability.

SectionExam Rm
A:SprinkleTBD
B:WalkerTBD
C:CarneyTBD
D:HolstonTBD
E:HolstonTBD
F:HajiTBD
SectionExam Rm
G:HolstonTBD
H:WalkerTBD
I:WalkerTBD
J:HajiTBD
K:CarneyTBD
L:HajiTBD

Exam 2: Thursday Mar. 7, 6:30 - 8:00pm

Study Information:

Solutions may be posted following the exam. Check with your instructor regarding solution availability.

SectionExam Rm
A:SprinkleTBD
B:WalkerTBD
C:CarneyTBD
D:HolstonTBD
E:HolstonTBD
F:HajiTBD
SectionExam Rm
G:HolstonTBD
H:WalkerTBD
I:WalkerTBD
J:HajiTBD
K:CarneyTBD
L:HajiTBD

Exam 3: Thursday Apr. 11, 6:30 - 8:00pm

Study Information:

Solutions may be posted following the exam. Check with your instructor regarding solution availability.

SectionExam Rm
A:SprinkleTBD
B:WalkerTBD
C:CarneyTBD
D:HolstonTBD
E:HolstonTBD
F:HajiTBD
SectionExam Rm
G:HolstonTBD
H:WalkerTBD
I:WalkerTBD
J:HajiTBD
K:CarneyTBD
L:HajiTBD

Final Exam: Saturday Dec. 8, 10:15am - 12:15pm

Study Information:

Solutions may be posted following the exam. Check with your instructor regarding solution availability.

SectionExam Rm
A:SprinkleTBD
B:WalkerTBD
C:CarneyTBD
D:HolstonTBD
E:HolstonTBD
F:HajiTBD
SectionExam Rm
G:HolstonTBD
H:WalkerTBD
I:WalkerTBD
J:HajiTBD
K:CarneyTBD
L:HajiTBD

Course Section(s)

Sec CRN Days Time Room Instructor
A:12060MWRF8:00MH-375Sprinkle
B:12061MWRF9:00CO-131Walker
C:12062MTWF10:00MH-363Carney
D:12063MWRF11:00MH-363Holston
E:12064MWRF12:00MH-363Holston
F:12065MWRF11:00BE-243Haji
G:12066MWRF2:00MH-375Holston
H:12067MWRF8:00CO-131Walker
I:12068MWRF10:00CO-131Walker
J:12069MWRF11:00BB-W210Haji
K:12070MTWF1:00MH-357Carney
L:12071MWRF2:00BE-243Haji

Grading Policies

The points given to each evaluation method will be as follows:
Exams300
Discretionary150
Final150
Grades will be assigned as follows:
90 - 100A
80 - 90B
70 - 80C *
60 - 70D
below 60F
* This is the minimum grade necessary to progress to the next course.

Recommended Problems

11 - Parametric Equations, Polar Coordinates, and Conic Sections
11.1:Parametric Equations#2, 5, 7, 10, 13, 16, 17, 23, 26, 27, 29, 42, 54-56, 61
11.3:Polar Coordinates#3, 5, 7, 8, 11, 13, 15, 18, 19, 24
 
12 - Vector Geometry
12.1:Vectors in the Plane#1, 3, 6, 11, 12, 20, 26, 27, 29, 30, 33, 36, 37, 39, 48, 51, 56, 57
12.2:Vectors in Three Dimensions#6, 10, 12, 17, 24, 30, 31, 34, 42, 48, 50
12.3:Dot Product and the Angle between Two Vectors#2, 10, 11, 14, 18, 19, 21, 25, 37, 41, 52, 55, 65, 77, 78
12.4:The Cross Product#2, 7, 11, 12, 20, 22, 25, 33, 36, 37, 59
12.5:Planes in Three-Space#2, 5, 12, 18, 20, 22, 26, 28, 33, 36, 49
 
13 - Calculus of Vector-Valued Functions
13.1:Vector-Valued Functions#1, 5, 7, 10, 14, 16, 21, 22, 25, 32, 34, 37
13.2:Calculus of Vector-Valued Functions#3, 4, 10, 15, 16, 18, 21, 22, 34, 36, 41, 45, 48, 50
13.3:Arc Length and Speed#2, 3, 9-11, 22-24
13.5:Motion in Three-Space#3, 4, 6-8, 12, 18-20, 30, 32, 36, 38, 40
 
6 - Applications of the Integral
6.1:Area Between Two Curves#7, 8, 15, 23, 26, 27, 34-36, 42
6.2:Setting Up Integerals: Volume, Density, Average Value#1, 2, 5, 12, 13, 23, 26, 29, 37, 40, 44, 54, 55
6.3:Volumes of Revolution#1, 2, 5, 9, 10, 13, 14, 16, 17, 21, 23, 40, 46, 48
6.4:The Method of Cylindrical Shells#3, 5, 6, 8, 9, 15, 18, 21, 26, 36-38, 47-49
6.5:Work and Energy#1, 2, 4, 5, 12, 15, 19, 28-31
 
7 - Techniques of Integration
7.1:Numerical Integration#3, 7, 10, 11, 13, 18, 20, 23, 28, 38, 50, 51, 60, 69
7.2:Integration by Parts#2-4, 9, 24, 26, 27, 33, 34, 39, 40, 44, 48
7.3:Trigonometric Integrals#1, 3, 11, 15, 18-20, 22, 25, 38, 47, 54, 55
7.4:Trigonometric Substitution#2-5, 8, 9, 14, 15, 19-22, 27, 30
7.5:Integrals of Hyperbolic and Inverse Hyperbolic Functions#1, 6, 8, 11, 12, 15, 16, 25, 26, 28, 29, 33, 37, 38, 41
7.6:The Method of Partial Fractions#6, 7, 10, 14, 20, 21, 30, 31, 35, 37, 47, 53, 55, 59, 65, 69, 71, 86
7.8:Improper Integrals#11, 12, 15, 17, 23, 26, 27, 30, 31, 42, 44, 47
 
8 - Further Applications of the Integral and Taylor Polynomials
8.4:Taylor Polynomials#3, 4, 8, 10, 19, 21, 26-28, 34, 36, 42
 
9 - Introduction to Differential Equations
9.1:Solving Differential Equations#5, 8, 12, 15-18, 20, 28, 30, 32, 38, 40, 44
 
10 - Infinite Series
10.1:Sequences#5, 7, 8, 15, 18, 19, 24, 25, 35, 42, 44, 49, 53, 55, 58, 59, 73
10.2:Summing an Infinite Series#1, 2, 4, 11, 14, 19, 20, 23, 26, 30, 32, 34, 37
10.3:Convergence of Series with Positive Terms#2, 4, 9, 11, 18, 21, 24, 27, 39-41, 50, 54, 57, 60, 63, 67, 73
10.4:Absolute and Conditional Convergence#4, 6-9, 19, 22, 23, 26, 31, 33
10.5:The Ratio and Root Tests#2, 4, 6, 8, 10, 16, 18, 35-37, 41-43, 48, 50, 51
10.6:Power Series#1, 2, 4, 5, 9, 10, 13, 15, 23, 27, 29, 35, 37, 39, 40
10.7:Taylor Series#3, 5, 7, 11, 13, 17, 19, 30, 35-37, 51, 54, 64, 66
 
Applied Mathematics & Statistics
Colorado School of Mines
Golden, CO 80401-1887
Phone: 303.273.3880
Fax: 303.273.3875
E-Mail: amsweb@mines.edu