MATH 1150 - Calculus I

Academic Division:

Liberal Arts

Academic Discipline:

Mathematics

Assistant Dean: Steve Haynes PhD

5 Credit(s)
A study of analytic geometry, limits, continuity, the derivative, basic differentiation rules, rates of change, the product and quotient rules, higher-order derivatives, the chain rule, implicit differentiation, related rates, extrema on an interval, Rolle’s Theorem and the Mean Value Theorem. Function analysis includes increasing and decreasing functions and the first derivative test, concavity and the second derivative test, limits at infinity and curve sketching. Concluding topics include anti-derivatives, indefinite and definite integrals, the Fundamental Theorem of Calculus, and integration by substitution. Applications include optimization problems, Newton’s method, differentials, and areas of planar regions. This course meets the requirements for OTM Calculus I TMM005. If combined with MATH 1151, it meets the requirements for OTM Calculus I & II sequence TMM017. UG

5 Lecture Hour(s);

Required Prerequisite Course(s): MATH 1130 (Minimum grade of C- required) or qualifying placement test score

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	Quantitative Literacy VALUE Rubric, week 12, test 3

Student Learning Outcomes for Course

Outcomes	Assessments – How it is met & When it is met
1. Determine the existence of, estimate numerically and graphically and find algebraically, the limits of functions.	Homework, Tests, Final Exam Weeks 1,2, 4, and 16
2. Determine the continuity of functions at a point or on intervals.	Homework, Tests, Final Exam Weeks 2,4 and 16
3. Determine and interpret the derivative of a function using the limit definition and derivative theorems	Homework, Tests, Final Exam Weeks 3,4,5,8 and 16
4. Use the derivative to solve related rates and optimization problems.	Homework, Tests, Final Exam Weeks 5,8,9,12 and 16
5. Assess a function’s graph to determine which intervals are increasing, decreasing, concave up or concave down and to determine its extrema.	Homework, Tests, Final Exam Weeks 7,8,9,12 and 16
6. Determine when Rolle’s Theorem and the Mean Value Theorem can be applied and use those theorems to solve problems.	Homework, Tests, Final Exam Weeks 6, 8, and 16
7. Use differentials and linear approximations to analyze applied problems.	Homework, Tests, Final Exam Weeks 10, 12 and 16
8. Determine antiderivatives and use definite integrals to find areas of planar regions.	Homework, Tests, Final Exam Weeks 11-16

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