MTH 273-274 Syllabus


Division: Arts and Sciences                                                                                                          Date:  February 2014


Curricula in Which the Course is Taught: Science, Engineering, Liberal Arts


Course Number and Title:  MTH273-274 Calculus I-II


Credit Hours:  4       Hours/Wk Lecture: 4          Hours/Wk Lab: 0     Lec/Lab Comb: 4



I.              Catalog Description:  A two semester calculus class teaches fundamental principles of differential and integral calculus of single variable algebraic and transcendental functions. Designed primarily for mathematics, science and engineering majors. Topics include limits, derivatives, derivative rules and their applications, definite and indefinite integrals, method of integration and their applications, calculus of parametric equations and, sequences and series.


II.            Relationship of the Course to Curricula Objectives in which course is taught:  This is a transfer level mathematics course that helps develop fundamental understanding of the differential and integral calculus and their applications.


III.           Required Background: MTH 163, MTH 166 or equivalent


IV.          Course Content:


1.    Limits and its application

2.    Continuity of a function

3.    Derivative of a function

4.    Derivative rules

5.    Higher order derivatives

6.    Maxima and minima and mean-value theorem

7.    Graph sketching using derivatives

8.    Application of derivatives in physical science and social sciences

9.    Antiderivative and integration

10. Definite and indefinite integrals

11. Fundamental theorems of calculus

12. Method of Substitution

13. Area and volumes

14. Log and exponential functions

15. Basic differential equations

16. Integration methods

17. Arc length and surface area

18. Parametric equations

19. Sequences and Series


V.    Learner Outcomes:

VI.   Evaluation

Students will be able:


Students will be evaluated based upon their performance in the classroom discussions, homework, tests, quizzes and other assignments as deemed necessary by the faculty.



To demonstrate a qualitative understanding of fundamental principles of differential and integral calculus.


To demonstrate problem solving skills using the fundamental principles of calculus


To demonstrate ability to apply the concepts of calculus to problems in physical science and engineering


VII. This course supports the following objectives:


DCC Educational Objectives:

Critical Thinking

Quantitative Reasoning

Scientific Reasoning