Math Calculus I with Analytical Geometry Online Mathematics Department

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1 Math Calculus I with Analytical Geometry Online Mathematics Department Rita Marie O Brien WCB 108/(903) Summer ) Catalog Description of the Course: This course meets the degree requirements of most science, science-related, and engineering majors. Topics include limits, analytical geometry, derivatives and curve sketching, antiderivatives including trigonometric functions, definite integrals, and applications of definite integrals. Prerequisite: high school pre-calculus, or MATH 1316, or MATH ) Introduction and Rationale for the Course: To apply arithmetic, algebraic, geometric, higher-order thinking, and statistical methods to modeling and solving real-world situations To interpret mathematical models such as formulas, graphs, tables, and schematics, and draw inferences from them To use appropriate technology to enhance mathematical thinking and understanding and to solve mathematical problems and judge the reasonableness of the results Develop the capability to think and analyze at a critical level 3) Instructional Materials: Required Materials: Text: Calculus, 8th ed., Larson/ Hostetler, and Edwards. Houghton Mifflin, Available Materials: Student Solution manual (packaged with the text) Calculators: None required 4) Student Learning Outcomes: Find limits graphically, algebraically, and numerically. Find derivative, slope of tangent line, equation of tangent line, and horizontal tangent line. Demonstrate an understanding of product rule, quotient rule and chain rule. Demonstrate an understanding of applications of the derivative including finding extrema, optimization, and related rate problems. Evaluate an integral including integration by substitution. Demonstrate an understanding of differentiation and integration of trigonometric, logarithmic, exponential inverse and hyperbolic functions. Page -1-

3 Important Dates: May 28 Classes begin May 29 June 1 Late registration June 17 Last day to drop, 12 noon July 1 Final Exam 11)EEOC Statement: Navarro College shall comply with existing federal and state laws and regulations, including the Civil Rights Act of 1964 (P. L ) and Executive Order (Revised Order #4), where applicable, with respect to the availability of student loans, grants, scholarships, and job opportunities, with respect to the employment and promotion of teaching and non-teaching personnel, with respect to the student and faculty activities conducted on premises owned or occupied by the College. Navarro College shall not discriminate either in favor of or against any person on account of race, color, religion, creed, sex, age, national origin, ancestry, handicap, marital status or veteran s status. 12) Services for Students: Students with Disabilities: Please know that Navarro College provides reasonable accommodations to students with documented disabilities in compliance with the Americans with Disabilities Act. Students who wish to request special accommodations must complete the application/documentation process within the first week of class and receive approval before said accommodations are provided. Contact the Navarro College Counseling Center ( ) for more details. Tutorial services: Tutoring services are available for a variety of course subjects at Navarro College. Contact the counseling department on your campus for information if you are having difficulty in a course. Special populations students: Navarro College provides, through the Carl Perkins Career Center, a variety of services for students who are single parents, displaced homemakers, persons with disabilities, students majoring in nontraditional occupations, and limited English-speaking students. Students falling into one or more of these categories should contact the Carl Perkins Career Center, located on the second floor of the One-Stop Center (Gooch Building) on the Corsicana campus, for details concerning these services. Please note that the center is funded through a federal grant and the level of service depends on funding available. Students must meet specific requirements as defined by the federal government. 13) Subject to Change: The course syllabus above and/or the Course Outline below may be changed as the term progresses at the discretion of the instructor. 14) Example of Academic Dishonesty: Students are expected to do their own work at all times. Any student guilty of dishonesty in academic work is subject to disciplinary action as provided by the student code of conduct at Navarro College AND may receive a failing grade in the course. Other penalties may also apply. Cheating is a serious offense with serious consequences. Consult the student handbook for more details. Page -3-

4 15) Course Outline: Limits Involving Infinity Continuity Definition of the Derivative Implicit Differentiation Related Rates Newton s Method Mean Value Theorem Velocity & Acceleration Problems Curve Sketching Summation Notation & Area Differential Equations Derivatives & Integrals of Inverse Trigonometric Functions Derivatives & Integrals of Hyperbolic Functions Daily Schedule ***subject to change at the discretion of the instructor*** Month Day Assignment Test Dates May 28 Chapter Chapter Chapter Chapter 1.4 June 1 Chapter Chapter Chapter Chapter Review 6 Review 7 Review 8 Chapter 2.4 Test 1 Page -4-

5 9 Chapter Chapter Chapter Chapter Review 14 Review 15 Test 2 16 Chapter 3.3 Test 2 17 Chapter Chapter Chapter Chapter Chapter Review 23 Test 3 24 Chapter 5.1 Test 3 25 Chapter Chapter Chapter 5.4/ Chapter Chapter Chapter Review July 1 Final Page -5-

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