MATH 1007B [0.5 Credit] Elementary Calculus I

MATH 1007B [0.5 Credit] Elementary Calculus I Basic Information: Class Schedule: Tutorial Schedule: Course Instructor: Email: Office Hours: Course Webpage:

Tuesdays and Thursdays: 11:35-12:55 starting September 5, 2013. Thursdays: 13:35-14:25 starting September 12, 2013. Kyle Harvey [email protected] Tuesdays and Thursdays: 14:30-17:30, or by appointment. 5218 Herzberg Building All course material will be made available through cuLearn.

Course Information: Prerequisites: Textbook:

Ontario Grade 12 Mathematics: Advanced Functions, or MATH 0005 & MATH 0006 J. Hass, M.D. Weir, G.B. Thomas, Single Variable University Calculus, Early Transcendentals, 2nd ed., with Student’s Solutions manual, available at the Campus Bookstore.

Course Overview:

Limits. Differentiation of the elementary functions, including trigonometric functions. Rules of differentiation. Applications of differentiation: max-min problems, curve sketching, approximations. Introduction to integration: definite and indefinite integrals, areas under curves, fundamental theorem of calculus.

Classes

All lectures will have Powerpoint Presentations posted on cuLearn. It is highly recommended that you print the slides and bring them in as we will be discussing all of the content presented in the slides. Remember, it is crucial for your learning to understand the material as well as practice the material. Keeping up with the homework assignments will be key to your success in this course.

Calculators:

No calculators or other memorandum will be allowed on tests or exams.

Tutorial Centre:

1160 HP (tunnel junction between Herzberg and Steacie): This is a drop-in centre where students in elementary courses can get one-on-one help in mathematics and statistics, on a first come first serve" basis. For more information, including hours of operation, see http://www5.carleton.ca/math/math-tutorial-centre/

Assessment: Tutorials (10%):

Tutorials is a time to practice the material. You will be working in teams of 3-4 students in the tutorial practicing problems that will be given to you. You should be practicing the recommended problem sets at home, and working with you TA and fellow classmates in tutorial to make sure you are comfortable with the concepts. Practice makes perfect! To obtain your mark for the tutorial, you must answer at least 2 of the 4 questions correctly. Only the final answer will count, so make sure to check your work. Full solutions will be provided to you so that you may determine your errors (if any are made).

Tutorial Tests (40%):

Final Exam (50%):

There will be 4 tests to be taken place in the tutorials. Provided that you maintain at least 30% on every test, the lowest test will be dropped. Each test will be weighted equally. There will be no make up tests. If you provide adequate documentation (doctor’s note, etc...), then I will adjust the weight of each test accordingly, otherwise a mark of 0 will be given for the test. You must bring your student card to each test and exam and place it on your desk where it is visible. The dates of the tests will be: Sep 26, Oct 10, Oct 24, & Nov 21. Any request to review your grade for your test or tutorial must be done within two weeks of receiving the grade. The final exam will be a three hour closed book exam to be held during the exam period set by Carleton University. The questions will be similar to those seen on the tests, and in the homework assignments. Students who wish to review their final examination paper must do so within two weeks from the release of final grades. This privilege is for educational purposes and not an opportunity to argue about the marking.

Note: The above grading scheme applies only when the Term Grade is at least 20/50. A Term Grade of less than 20/50 will result in an automatic failure with the final grade of FND, regardless of the Final Examination. Students who obtain a Term Grade of at least 20/50, but miss the Final Examination may be eligible for a deferred exam. Application for a deferral must be made, with appropriate documentation, to the Registrar's Office within five working days after the examination. Please note that the deferred exam for this course will be the final exam for the Winter term course and will be written in April. Policies: Academic Integrity: All tests and exams are to be done independently. Any instance of suspected cheating or plagiarism will not be tolerated. Suspected cheating will be reported to the Dean, according to the policies stated in General Regulations. For more information, please consult: http://www.carleton.ca/cu0607uc/regulations/acadregsuniv14.html

Pregnancy or Religious Obligation:

Write to me with any requests for academic accommodation during the first two weeks of class, or as soon as possible after the need for accommodation is known to exist. For more details see http://www2.carleton.ca/equity/ccms/wp-content/ccms-_les/Student-Guide-card09.pdf

Academic Accommodations for Students with Disabilities: The Paul Menton Centre for Students with Disabilities (PMC) provides services to students with Learning Disabilities (LD), psychiatric/mental health disabilities, Attention Deficit Hyperactivity Disorder (ADHD), Autism Spectrum Disorders (ASD), chronic medical conditions, and impairments in mobility, hearing, and vision. If you have a disability requiring academic accommodations in this course, please contact PMC at 613-520-6608 or [email protected] for a formal evaluation. If you are already registered with the PMC, contact your PMC coordinator to send me your Letter of Accommodation at the beginning of the term, and no later than two weeks before the first in-class scheduled test or exam requiring accommodation (if applicable). After requesting accommodation from PMC, meet with me to ensure accommodation arrangements are made. Please consult the PMC website for the deadline to request accommodations for the formally-scheduled exam.

Course Schedule: (Please note that course material is subject to change based on the progression of the course) Week 0 – Sept 5 Course Syllabus How should I prepare for this math course? Function Notation Week 1 - Sept 10 & Sept 12 Parent Functions and Transformations Domain and Range Trigonometry Week 2 - Sept 17 & Sept 19 Log Laws Piecewise Functions Odd and Even Functions Week 3 - Sept 24 & Sept 26 Limit Notation & Graphical Representations Continuity Evaluating Limit Expressions Test #1 to be held in tutorial (covering material from weeks 1-2) Week 4 - Oct 1 & Oct 3 Limits Involving Squeeze Theorem Limits to Infinity Average Rate of Change Week 5 - Oct 8 & Oct 10 Instantaneous Rates of Change Derivative Formula Constant Rule & Power Rule & Sum Rule Test #2 to be held in tutorial (covering material from weeks 3-4) Week 6 - Oct 15 & Oct 17 Product Rule Quotient Rule Chain Rule

Week 7 - Oct 22 & Oct 24 Deriving 𝑒 𝑥 and ln 𝑥 Deriving Trigonometric Functions Implicit Differentiation Test #3 to be held in tutorial (covering material from weeks 5-6) Week Fall Break - Oct 29 & Oct 31

FALL BREAK: NO CLASSES Week 8 - Nov 5 & Nov 7 Logarithmic Differentiation Deriving Inverse Trigonometric Functions Linearization Week 9 - Nov 12 & Nov 14 Absolute and Local Extrema & Critical Points First Derivative Test Concavity & Inflection Points Week 10 - Nov 19 & Nov 21 Second Derivative Test Curve Sketching 0 ∞ L’Hopitals Rule (0 and ∞)

Test #4 to be held in tutorial (covering material from weeks 7-9) Week 11 - Nov 26 & Nov 28 L’Hopitals Rule (1∞ and (∞)0 ) Mean Value Theorem & Antiderivatives Sigma Notation & Area Under Curves

Week 12 – Dec 3 & Dec 5 Definite Integrals Fundamental Theorem of Calculus Integrating by Substitution