HCCS Southeast SUMMER 2016 Math 2413 Calculus I SYLLABUS CRN#14478

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1 HCCS Southeast SUMMER 2016 Math 2413 Calculus I SYLLABUS CRN#14478 I. Instructor Ha S. Nguyen, PhD. hason.nguyen@hccs.edu Office Hours: after class or by appointment Course: Math 2413 Calculus I Time: MTWTh 5:30-8:45 pm. Place: Felix Morales Bldg. Rm#301 II. Textbook Calculus by Larson and Edwards, Ninth edition, Brooks/Cole, However, any older versions also work. (A pdf version can be found on the Internet). III. Course Description An integrated study of differential calculus with analytic geometry including the study of functions, limits, continuity, differentiation, and an introduction to integration. IV. Course Prerequisites Math 2412: Pass with C or better, or consent of the Department Head. V. Course instructional objectives Upon completion of this course, a student should be able to: 1. Describe the basic concept of mathematical functions and the various types of functions. 2. Demonstrate knowledge of the concept of the limit of a function at a point and properties. 3. Demonstrate knowledge of the idea of continuity of a function. 4. Recognize the discontinuity points of certain types of functions 5. Differentiate various types of mathematical functions. 6. Differentiate the trigonometric functions with applications. 7. Use learned tools to sketch the curves of various types of functions. 8. Calculate the indefinite and definite integrals of functions. Various applications. VI. Course Outline Chapter P: Preparation for Calculus P.1: Graphs and Models P.2: Linear models. Rate of change of functions. P.3: Functions and Graphs. P.4: Fitting models to data. Chapter 1: Limits of functions and Properties 1.2 Finding limits graphically and numerically. One-sided limits 1.3 Evaluating limits analytically 1.4 Continuity. 1.5 Infinity limits. Limits at infinity. Chapter 2: Differentiation 2.1 The Tangent line problem. 2.2 Basic Differentiation rules and Rates of Change.

2 2.3 Product and Quotient Rules. Higher order derivatives. 2.4 Chain Rule. 2.5 Implicit Differentiation. 2.6 Related Rates problems. Chapter 3: Applications of Differentiation. 3.1 Extrema of a function. 3.2 Rolle s theorem. Mean Value Theorem. 3.3 Increasing/Decreasing properties. First Derivative. 3.4 Concavity property. Second Derivative. 3.6 Curve sketching. 3.7 Optimization problems. 3.8 Newton s method (Optional). 3.9 Differentials.(Optional) Chapter 4: Integration 4.1 Antiderivatives. 4.2 Area. 4.3 Riemann Sums/ Definite integrals. 4.4 The Fundamental Theorem of Calculus. 4.5 Integration by Substitution. VII. Homework/Quizzes/Exams 1. There will be three (3) in-class tests and a comprehensive final examination. The final examination must be taken by all students. All major tests will be announced at least one week or the equivalent in advance. 2. Grade will be calculated by the formula: NumGr = (T1 + T2 + T3)/3 *.50 + Homework/Quizz* Final* = A = B = C = D Below 60 = F *Some quizzes will be take-home. *Check Learning Web (Instructor Ha Nguyen) for homework sets. Students can primarily work these problems during the break before the course actually starts. 3. No make-up test unless instructor is notified in advance and documents are provided. Late homework will be subject to penalty. VIII. Course expectations 1. Meet the course prerequisites by the time the course starts. 2. Attend all class sessions in a timely manner. 3. Read the sections in the textbook as they are covered in class. 4. Take clear, organized notes. 5. Do homework. 6. Study (includes reading the textbook, review homework assignments, reviewing class notes, seeking help from the instructor ). 7. Go to the Tutoring Assistant Center (TAC) if needed.

3 IX. Instructional resources available to the student The student shall use the following resources to facilitate learning: 1. Textbook, any other calculus books, solution manuals. 2. Lectures, online lectures in calculus, problem-solving, and review sessions 3. The Tutoring Assistance Center (TAC): Southeast HCCS. 4. HCCS library: The school libraries keep many books on the subject. Check out one of these books. 5. The Internet: There are also many online math resources that you can find with Internet Google searching. 6. Study groups X. HCC Policy Statement Services to Students with Disabilities Any student with a documented disability (e.g. physical, learning, psychiatric, vision, hearing, etc.) who needs to arrange reasonable accommodations must contact the Disability Services Office at his or her respective college at the beginning of each semester. Academic Honesty A student who is academically dishonest is, by definition, not showing that the coursework has been learned, and that student is claiming an advantage not available to other students. Students are responsible for conducting themselves with honor and integrity in fulfilling course requirements. Attendance It is the student s responsibility to attend class and record all notes. Attendance will be taken daily. If a student is absent from class it still remains the student s responsibility to secure the notes from one of the other members of the class and to submit any required assignment. HCC Course Withdrawal Policy If you feel that you cannot complete this course, you will need to withdraw from the course prior to the final date of withdrawal. Before, you withdraw from your course; please take the time to meet with the instructor to discuss why you feel it is necessary to do so. The instructor may be able to provide you with suggestions that would enable you to complete the course. Your success is very important. Beginning in fall 2007, the Texas Legislature passed a law limiting first time entering freshmen to no more than SIX total course withdrawals throughout their educational career in obtaining a certificate and/or degree. If you plan on withdrawing from your class, you MUST contact a HCC counselor or your professor prior to withdrawing (dropping) the class for approval and this must be done PRIOR to the withdrawal deadline to receive a W on your transcript. If you do not withdraw before the deadline, you will receive the grade that you are making in the class as your final grade. Anybody who wishes to drop the course should do that before the deadline and should refer to the HCCS academic calendar. Students are encouraged to stay in the course until the final exam. If you are behind, talk to your professor. Repeat Course Fee The State of Texas encourages students to complete college without having to repeat failed classes. To increase student success, students who repeat the same course more than twice, are required to pay extra tuition. The purpose of this extra tuition fee is to encourage students to pass their courses and to graduate.

4 Effective fall 2006, HCC will charge a higher tuition rate to students registering the third or subsequent time for a course. Personal Communication Device: All personal communication devices (any device with communication capabilities including but not limited to cell phones, blackberries, pagers, cameras, palmtop computers, lap tops, PDA's, radios, headsets, portable fax machines, recorders, organizers, databanks, and electronic dictionaries or translators) must be muted or turned off during class. No Cellphone calculators in Exams. XI. Important dates: June 6, 2016 (Mon): Classes begin. June 27, 2016 (Mon): Last day to withdrawal with W. July 4, (Mon): Independence Holiday. July 7, 2016 (Thurs): Final exam. July 10, 2016 (Sun): Summer I ends. July 12, 2016 (Tues): Grades turn-in. XII. TENTATIVE COURSE SCHEDULE Topics Week Chapter P: Preparation for Calculus 1 P.1: Graphs and Models P.2: Linear models. Rate of change of functions. P.3: Functions and Graphs. P.4: Fitting models to data. Chapter 1: Limits of functions and Properties Finding limits graphically and numerically. One-sided limits 1.3 Evaluating limits analytically 1.4 Continuity. 1.5 Infinity limits. Limits at infinity. Chapter 2: Differentiation The Tangent line problem. 2.2 Basic Differentiation rules and Rates of Change. 2.3 Product and Quotient Rules. Higher order derivatives. 2.4 Chain Rule. 2.5 Implicit Differentiation. 2.6 Related Rates problem. 2 TEST 1 Chapter 3: Applications of Differentiation Extrema of a function. 3.2 Rolle s theorem. Mean Value Theorem. 3.3 Increasing/Decreasing properties. First Derivative. 3.4 Concavity property. Second Derivative Curve sketching. 3.7 Optimization problems. 3

5 3.8 Newton s method (Optional). 3.9 Differentials.(Optional) 3 TEST 2 Chapter 4: Integration 4.1 Antiderivatives/Definite Integrals Areas. 4.3 Riemann Sums and Definite Integrals. 4.4 The Fundamental Theorem of Calculus The Substitution technique to find antiderivatives. 4 TEST 3 FINAL EXAM

Math 181, Calculus I

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