Proposed Course Outline - Elementary Analysis 1

COURSE OUTLINE Instructor: Arlan Christopher I. Rodrigo e-mail: [email protected] Course Number: Course Title: Course Credit: Course Requirements:

Passing Grade: Consultation Hours: Main References: Prerequisites:

Math 53 ELEMENTARY ANALYSIS I 5 units 3 x 5 index card (Information Sheet) 5 Long Exams = 4/9 of Final Grade Midterm Exam = 2/9 of Final Grade, Final Exam = 3/9 of Final Grade Attendance, Quizzes, Homework (Bonus points for Exams) 60% By appointment (send me an e-mail) The Calculus 7 ( Leithold ) Calculus – Early Transcendentals 6th Ed. ( James Stewart ) Math 17

Course Objectives: At the end of the course, the student is expected to know the following: • • • • • • • • • • •

Limits and Continuity of Functions Concept of Derivatives and Differentiation Rules for a variety of functions Applications of Derivatives in Graph Sketching ( Local and Absolute Extrema of Functions ) Applications of Derivatives in Solving Word Problems such as Optimization Problems and Related Rates Problems Anti-Derivatives of Basic Functions Differential Equations with Separable Variables and some Applications Definite Integrals and Areas of bounded plane regions Fundamental Theorem of Calculus Derivatives and Anti-Derivatives involving Exponential and Logarithmic Functions, Trigonometric and Hyperbolic Functions Derivatives and Anti-Derivatives of Inverse Functions Some Indeterminate Forms and the use of L’Hopital’s Rule to evaluate Limits of Indeterminate Forms

Exams: There will be 5 written Long Exams with a cumulative weight of 4/9 of the Final Grade. Aside from this, there will be a Midterm Exam that will make up 2/9 of the Final Grade and a Final Exam that will make up 3/9 of the Final Grade. The passing grade at the end of the semester is 60%. Standard University rules will be used in determining the Final Grade to be given. Also, submit 1 or 2 bluebooks at least two days before scheduled Long Exams with your name written at the back at the top-left corner. Attendance, Participation, Quizzes, Homework: Extra Bonus points or percentage points will be given from quizzes and homework. These points have their corresponding merit in the Examinations. Please refer to the table at the end for more information.

Class Policy: 1. If a student is late for more than 25 minutes for a particular class period, then he will be marked absent for that period. Per University rules, if a student incurs more than 12 absences, then he/she will be forced to drop the course. 2. There will be no make-up for missed quizzes and unsubmitted homework or homework submitted past the deadline. 3. If a student misses a Long Exam for a valid reason (requires documentation), then his/her grade for the missed Long Exam will be the grade of the Final Exam. If a student misses a second Long Exam, then it is automatically ZERO regardless of the reason. A student who misses an exam for an invalid reason will have a grade of ZERO for that exam. 4. Cheating, in any form, including copying homework will not be tolerated. 5. Strictly don’t use any electronic gadgets inside the classroom without permission. Turn off all electronic gadgets when inside the classroom or put them at least in silent mode. 6. Always bring at least one piece of yellow pad and black ballpen every meeting. CRITERIA Quizzes

Per 10 points earned : + 1% in Long Exam 90% and up for total : + 3% in Final Exam

Homework

Per 15 points earned : + 1% in Long Exam 95% and up for total : + 1% in Final Exam INFORMATION SHEET ( on a 3 x 5 index card )

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