MATH 2010 - Calculus III

Academic Division:

Liberal Arts

Academic Discipline:

Mathematics

Assistant Dean: Steve Haynes PhD

4 Credit(s)
This is the third of three courses in the basic calculus sequence. Topics include vector functions, functions of two or more variables, gradients, tangent planes and normal lines, LaGrange multipliers, partial derivatives (including applications), arc length and curvature, multiple integration, implicit and parametric calculus, spherical and cylindrical coordinates, Jacobians to change variables, and vector calculus including Green’s Theorem, and Stoke’s Theorem. This course meets the requirements for OTM Calculus III TMM018 and also TAG# OMT018. UG OMT018

4 Lecture Hour(s);

Required Prerequisite Course(s): Successful completion of MATH 1151 with a grade of C- or better required.

College Wide Outcomes

College-Wide Learning Outcomes	Assessments - - How it is met & When it is met
Communication – Written
Communication – Speech
Intercultural Knowledge and Competence
Critical Thinking
Information Literacy
Quantitative Literacy

Student Learning Outcomes for Course

Outcomes	Assessments – How it is met & When it is met
1. Differentiate and integrate vector-valued functions. For a position vector function of time, interpret these as velocity and acceleration.	HW, Test, Final exam Weeks 1,2,4 and 16
2. Evaluate limits, determine the continuity, determine the differentiability and describe the graphs of functions of several variables.	HW, Test, Final exam Weeks 2,3, 4 and 16
3. Find arc length and curvature of space curves.	HW, Test, Final exam Weeks 2,4 and 16
4. Find partial derivatives, directional derivatives, gradients, and differentials of functions of several variables and use them to solve applied problems.	HW, Test, Final exam Weeks 5,6,7,8 and 16
5. Find equations of tangent planes and normal lines to surfaces that are given implicitly or parametrically.	HW, Test, Final exam Weeks 4,5,8 and 16
6. Apply differentials of functions of several variables to optimization problems.	HW, Test, Final exam Weeks 6,7,8, 12 and 16
7. Use Lagrange multipliers to solve constrained optimization problems.	HW, Test, Final exam Weeks 8,12 and 16
8. Evaluate multiple integrals in appropriate coordinate systems such as rectangular, polar, cylindrical and spherical coordinates.	HW, Test, Final exam Weeks 10,12 and 16
9. Use Jacobians to change variables in multiple integrals.	HW, Test, Final exam Weeks 11, 12 and 16
10. Use the Fundamental Theorem of Line Integrals to solve applied problems.	HW, Test, Final exam Weeks 9,10, 12 and 16
11. Identify conservative and inverse square fields.	HW, Test, Final exam Weeks 12 and 16
12. Find the curl and divergence of a vector field, the work done on an object moving in a vector field, and the flux of a field through a surface.	HW, Test, Final exam Weeks 13,14 and 16
13. Use Green’s Theorem, the Divergence (Gauss’s) Theorem and Stoke’s Theorem.	HW, Test, Final exam Weeks 15 and 16

Standard Grading Scale
93-100 A

90 - 92 A-

87- 89 B+

83 - 86 B

80 -82 B-

77- 79 C+

73 - 76 C

70 -72 C-

67- 69 D+

63 - 66 D

60 -62 D-

00- 59 F

Statement on Diversity
North Central State College believes that every student is a valued and equal member of the community.* Every student brings different experiences to the College, and all are important in enriching academic life and developing greater understanding and appreciation of one another. Therefore, NC State College creates an inclusive culture in which students feel comfortable sharing their experiences. Discrimination and prejudice have no place on the campus, and the College takes any complaint in this regard seriously. Students encountering aspects of the instruction that result in barriers to their sense of being included and respected should contact the instructor, assistant dean, or dean without fear of reprisal.

*Inclusive of race, color, religion, gender, gender identity or expression, national origin (ancestry), military status (past, present or future), disability, age (40 years or older), status as a parent during pregnancy and immediately after the birth of a child, status as a parent of a young child, status as a foster parent, genetic information, or sexual orientation,

Standard NCSC Course Policies
Important information regarding College Procedures and Policies can be found on the syllabus supplement located at this link