MATH-112  CALCULUS FOR SCIENTISTS AND ENGINEERS II

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.

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Exam Information

Course Section(s)

Sec		CRN	Days	Time	Room	Instructor
A:		12060	MWRF	8:00	MH-375	Sprinkle
B:		12061	MWRF	9:00	CO-131	Walker
C:		12062	MTWF	10:00	MH-363	Carney
D:		12063	MWRF	11:00	MH-363	Holston
E:		12064	MWRF	12:00	MH-363	Holston
F:		12065	MWRF	11:00	BE-243	Haji
G:		12066	MWRF	2:00	MH-375	Holston
H:		12067	MWRF	8:00	CO-131	Walker
I:		12068	MWRF	10:00	CO-131	Walker
J:		12069	MWRF	11:00	BB-W210	Haji
K:		12070	MTWF	1:00	MH-357	Carney
L:		12071	MWRF	2:00	BE-243	Haji

Grading Policies

The points given to each evaluation method will be as follows:
Exams	300
Discretionary	150
Final	150

Grades will be assigned as follows:
90 - 100	A
80 - 90	B
70 - 80	C *
60 - 70	D
below 60	F

* 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