MATH 1151 - Calculus II

Academic Division:

Liberal Arts

Academic Discipline:

Mathematics

Assistant Dean: Steve Haynes PhD

5 Credit(s)
This course is a continuation of MATH 1150 - Calculus I. Topics include integration and applications, calculus of exponential and logarithmic functions, hyperbolic functions, methods of integration, integration by parts, indeterminate forms and L’Hôpitals’s Rule, moments and centers of mass, fluid pressure and force, integration techniques, series including Taylor and Maclaurin, calculus of conics, calculus of parametric equations, and polar forms of conic sections including Kepler’s Laws. This course meets the requirements for Transfer 36 Calculus II TMM006. If combined with MATH 1150, it meets the requirements for Transfer 36 Calculus I & II sequence TMM017. UG

5 Lecture Hour(s);

Required Prerequisite Course(s): Successful completion of MATH 1150 with a grade of C- or better required.

College Wide Outcomes

College-Wide Learning Outcome	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. Employ a variety of integration techniques to evaluate special types of integrals and apply to physical, biological or economic situations.	Homework, Tests, Final Exam Weeks 1,2,3,6,7,8,9,10 and 12
2. Approximate a definite integral by the Trapezoidal Rule.	Homework, Tests, Final Exam Weeks 1,4 and 16
3. Evaluate limits that result in indeterminate forms, including the application of L’Hôpital’s Rule.	Homework, Tests, Final Exam Weeks 9,10,12 and 16
4. Evaluate improper integrals.	Homework, Tests, Final Exam Weeks 10,12 and 16
5. Find, graph, and apply the equations of conics	Homework, Tests, Final Exam Weeks 14 and 16
6. Determine the existence of, estimate numerically and graphically, and find algebraically the limits of sequences and determine whether a series converges.	Homework, Tests, Final Exam Weeks 11,12,13 and 16
7. Find the nth Taylor polynomial at a specified center for a function and estimate the error term.	Homework, Tests, Final Exam Weeks 13 and 16
8. Analyze curves given parametrically and in polar form and find the areas of regions defined by such curves.	Homework, Tests, Final Exam Weeks 15 and 16
9. Solve separable differential equations and understand the relationship between slope fields and solution curves.	Homework, Tests, Final Exam Weeks 4,5,8 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