La ng Sp a r rin a C ar g o ch 20 lle iv 11 ge ed - LANGARA COLLEGE COURSE OUTLINE FOR MATH 1171 (201110) Calculus I with Computer Explorations Instructor: Edgar Avelino Office: B019L Phone: (604) 323-5731 e-mail: eavelino@langara.bc.ca COURSE OBJECTIVES: !To develop understanding of the concepts, and expertise with the skills and techniques, of differential calculus (the study of how quantities change). !To develop expertise with how these concepts, skills and techniques are used in a variety of applications involving elementary functions of one variable. TEXTBOOKS: Required: Optional: Calculus: Concepts and Contexts - Metric Version (4th ed.) by James Stewart Access code for Enhanced WebAssign (EWA) Student's Study Guide (for Stewart) by Burton & Garity COURSE OUTLINE & TEXT REFERENCES: BACKGROUND: A Preview of Calculus, Chapter 1, Appendices A, B & C. We will only spend class time on those parts of this material that are likely new to students who have recently graduated from Math 12 or Math 1170, and some of this time will be as the term progresses rather than at the beginning of term. Most of this material will be left as independent work for those students who need it. FUNDAMENTAL IDEAS: Rates & Slope: Sections 2.1 & 2.6 Limits & Continuity: Sections 2.2-2.5 Derivatives: Sections 2.7-2.8 COMPUTATIONAL RULES & TECHNIQUES: Sections 1.5, 1.7, Appendix C, 3.1-3.7 APPLICATIONS: Rates: Section 3.8 L’Hospital’s Rule: Section 4.5 Approximations: Section 3.9 Optimization: Section 4.6 Related Rates: Section 4.1 Newton’s Method: Section 4.7 Shapes of Curves: Sections 4.2 - 4.3 Antiderivatives: Section 4.8 MARK DISTRIBUTION: (the following may be revised as the term progresses) 30% from a two-hour midterm exam 40% from a two hour final examination in April (Final Exam period: Apr. 12 - 20) 15% from quizzes 10% assignments 5% web assignment exercises (EWA) NATURE OF THESE INSTRUMENTS: Quizzes: Short tests involving questions that are similar to the practice problems. La ng Sp a r rin a C ar g o ch 20 lle iv 11 ge ed - Assignments: Challenging problems extending the skills and exploring the ideas studied in class. They are to be handed in at the beginning of class on their due date. Assignments that are submitted after that deadline will only receive half marks unless arrangements are made with me prior to the due date. The assignments may also be done in pairs. Examinations: The difficulty of the questions will range from a level similar to what is on the quizzes to what is on the assignments. Examinations are to be written where and when scheduled unless a medical certificate is provided to substantiate illness, or unless special arrangements are made with me well before the scheduled date. In particular, you should plan to be available for the final examination period (April 12-20) as advertized in the Langara Calendar. FINAL GRADES: The percentages below will be used as a GUIDELINE ONLY in determining final letter grades for the courses. These grades are at the discretion of your instructor, particularly in borderline cases. CONSISTENCY throughout your entire term's work is required--a student should obtain a grade on the final examination which is consistent with the grade for the term work in order to be certain of receiving the letter grade expected from term work. Department of Mathematics and Statistics Guidelines for Final Grades GRADE A+ A A- RANGE OF PERCENTAGES 96-100 85-95 80-84 INTERPRETATION Distinguished Achievement: For consistently demonstrated excellence in all aspects of the course. B+ B B- 77-79 73-76 68-72 Above Average Achievement: For consistently demonstrated proficiency in all aspects of the course. C+ C C- 63-67 58-62 53-57 Satisfactory Achievement: For competent achievement in the course. D 48-52 Marginal Performance: Credit granted but insufficient mastery to proceed to the next level. F 0-47 Unsatisfactory Performance (Failing Grade) TRANSFER CREDIT: This course carries the following transfer credit at nearby universities: SFU: M151 UBC: M100 UVIC: M100