OAKTON COMMUNITY COLLEGE COURSE SYLLABUS I. Course Course Course Prefix Number Name Credit: Lecture Lab MAT 250 Calculus and 5 5 0 Analytic Geometry I II. Prerequisites: MAT 149, or BOTH MAT 140 and MAT 122 all with a grade of C or better or an appropriate score on the Mathematics Placement Test. III. Course (catalog) Description: This is the first course in calculus and analytic geometry focusing on limits, continuity, derivatives, and indefinite and definite integral, differentiation and integration of exponential functions, logarithmic functions and their applications. Calculators/computers will be used when appropriate. IV. Learning Objectives: 1. Understand the concept of limit of a function 2. Understand the concept of continuity of a function 3. Understand the concept of the Derivative 4. Evaluate derivatives of algebraic and trigonometric functions 5. Use derivatives to solve max/min problems, related rate problems, and curve sketching 6. Understand the concept of indefinite and definite integral 7. Evaluate indefinite and definite integral 8. Evaluate derivatives and integral of exponential functions, logarithmic functions and their applications. 9. Use calculators/computers in all areas of problem solving. V. Academic Integrity: The very nature of higher education requires that students adhere to accepted standards of academic integrity. Therefore, Oakton Community College has adopted a Code of Academic conduct and a Statement of Student Academic Integrity. These may be found in the student Handbook. You may also find a summary of the Code of Academic Conduct in the College Catalog. Among the violations of academic integrity listed and defined are: cheating, plagiarism, falsification and fabrication, abuse of academic materials, complicity in academic dishonesty, falsification of records and official documents, personal misrepresentation and proxy, and bribes, favors, and threats. It is the student's responsibility to be aware of behaviors that constitute academic dishonesty. Pursuant to the due process guarantees contained in the Policy and Procedures on Student Academic Integrity, the minimum punishment for the first offense for a student found in violation of the standards of academic integrity is failure in the assignment. In addition, a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years. VI. Outline of Topics: 1. Review Analytic Geometry and Vectors (optional) a) Application of slope, distance and midpoint b) Equations in two variables c) Vectors in the plane 2. Functions and Limits a) Functions and graphs b) Operations on functions c) Limits d) Infinity and limits e) Continuity 3. The Derivative a)Algebraic and trigonometric functions and their derivatives b)Differentiation rules for powers, quotients and products c)The Chain Rule d)Higher order derivatives e)Implicit differentiation f)Differentials and approximation by differentials 4. Applications of the Derivative a)Local extrema of functions b)Rolle's theorem and mean-value theorem c)Increasing/decreasing functions and the first derivative test d)Concavity and the Second derivative test e)Curve sketching f)Maximum/minimum problems g)Related rates h)Newton's method 5. The Definite Integral a) Antiderivatives (indefinite integral) b) Sums and sigma notation c) Definition and properties of the definite integral d) The Fundamental Theorem of Calculus e) Evaluation of integral by the substitution method f) Area under a curve g) Numerical integration 6. Exponential and Logarithmic Functions: a)Definitions and properties b)Differentiation and integration c)Applications VII. Methods of Instruction: Methods of presentation can include lectures, discussion, demonstration, experimentation, audio-visual aids, and regularly assigned homework. Calculators/computers will be used when appropriate. VIII.Instructional Materials IX. Methods of Evaluation: Evaluation methods can include grading homework, chapter or major tests, quizzes, computer assignments and/or a final exam. THE SUGGESTED DAY-BY-DAY SCHEDULE In a regular semester, there are 31 lecture days available if the classes are scheduled two times a week. This suggested day-by-day schedule is based on two meeting days a week and on the textbook, Calculus, 5th edition, written by Larson, Hostetler and Edwards. In this course, Chapter 1, 2, 3, 4, and Section 5.1--5.6 will be covered. Section 3.10 is optional. DAY 1 DAY 2 WEEK 1syllabus, review on lines, functions and graphs.review on trig., vectors in the plane(section 11.1) WEEK 2Section 1.1, 1.2Section 1.3, 1.4 WEEK 3Section 1.5, catch-upSection 2.1, Section 2.2 WEEK 4Section 2.3, Section 2.4Section 2.4, Section 2.5 WEEK 5Section 2.6, catch-up catch-up, review WEEK 6Test 1Section 3.1, Section 3.2 WEEK 7Section 3.3, Section 3.4Section 3.4, Section 3.5 WEEK 8Section 3.6, Section 3.7Section 3.8 WEEK 9Section 3.9, catch-upcatch-up, review WEEK 10Test 2Section 4.1, Section 4.2 WEEK 11Section 4.3Section 4.4, Section 4.5 WEEK 12Section 4.6Section 5.1, Section 5.2 WEEK 13Section 5.3, Section 5.4Section 5.4, Section 5.5 WEEK 14Section 5.6, catch-upcatch-up, review WEEK 15Test 3 WEEK 16review for the final test THE FINAL TEST THE SUGGESTED DAY-BY-DAY SCHEDULE This suggested day-by-day schedule is based on two meeting days a week and on the textbook, Calculus, written by G. L. Bradley, and K. J. Smith. In this course, Chapter 1, 2, 3, 4, and Section 5.1--5.5 will be covered. Section 3.9 is optional. DAY 1 DAY 2 WEEK 1syllabus, Section 10.1Section 1.1, 1.2 WEEK 2Section 1.3, 1.4Section 1.5, 1.6 WEEK 3Section 1.7, 1.8Section 2.1, WEEK 4Section 2.2, 2.3Section 2.4, 2.5 WEEK 5Section 2.6, 2.7Section 2.8, 2.9 WEEK 6catch-up, reviewTest 1 WEEK 7Section 3.1, 3.2Section 3.3, 3.4 WEEK 8Section 3.4, Section 3.5Section 3.6, 3.7 WEEK 9Section 3.8, Section 3.9, catch-up WEEK 10catch-up, reviewTest 2 WEEK 11Section 4.1, 4.2Section 4.3, Section 4.4 WEEK 12Section 4.5, 4.6Section 4.7, catch-up WEEK 13Section 5.1, Section 5.2Section 5.3, 5.4 WEEK 14Section 5.5, catch-upcatch-up, review WEEK 15Test 3 WEEK 16review for the final test THE FINAL TEST