advertisement

MIDLAND HIGH SCHOOL MIDLAND, TEXAS Instructor: Sarah Atchison Syllabus Addendum 2011-2012 AP Calculus – BC MC Math 2413 – Calc 1 MC Math 2414 – Calc 2 Dual Credit Pre-Calculus MC Math 1314 – College Alg MC Math 2412 – PreCal PLACEMENT into the COURSES MISD requires successful completion of Pre-Calculus to enroll into Calculus AB or BC. A student may take Business Math/Calculus along with or after completing Pre-Calculus. A student may enroll in Pre Calculus after completing Algebra II. Midland College requires the successful completion of pre-requisite classes and appropriate scores on THEA and a Mathematics Placement Test. GRADING SYSTEM(S) Your MISD grade each six-weeks will be computed as follows: Major Assignments 60% Minor Assignments 40% (determined at teacher’s discretion) If you register for concurrent enrollment at Midland College, your Midland College grade will be computed as the following: Tests 60% Quizzes 10% Practice & Each six-week grade will count 25% of the Notebook 10% semester grade. The Final Exam will count Final Exam 20% the remaining 25% of the semester average. This is the semester or course grade. The MISD Grading Scale is: The Midland College Grading Scale is: 90 - 100 A 90 - 100 A 80 - 89 B 80 - 89 B 70 - 79 C 70 - 79 C 0 - 69 F 60 - 69 D 0 - 59 F TEXT AND MATERIALS: Calculus, AP* Edition, by Finney, Demanna, Waits, and Kennedy is the adopted text for Calculus. Calculus of a Single Variable, by Larson, Hostetler, and Edwards, is the MC text and offered as a supplementary text. A graphing calculator is provided. (BC Calculus use the TI-89.). Dual Credit Pre-Calculus uses PreCalculus, by Sullivan and Sullivan. A graphing calculator may be used on some tests and assignments. (The TI-83 or 84 is recommended.) STUDENT INVOLVEMENT AND CLASS POLICIES: Regular attendance, accurate and studied notes, and quality and timely practice are required for success in college level mathematics. You are expected to make up all notes and assignments assigned during your absence. Make-up quizzes and tests must be completed outside of class time within three (3) days of your return. Make arrangements for a make-up time. Calculus is difficult and may be the first class you have to struggle to understand. Seek the help you need to be successful. I encourage you to study together, work homework together, and to seek individual help from me, as you need it. Regular study sessions will be scheduled throughout the year. Special AP study sessions are planned for the spring semester. PLEASE NOTE: As a course regulated by TWO (2), Registered, Credit Awarding Organizations, this course must meet the more stringent content requirements described in either of the descriptions. Every attempt is made to adhere to these requirements. Further, I seek information and offer opportunities to explore topics requested by the very best universities in the U.S. My goal is to offer to the student the assurance that their calculus experience will prepare them for the most rigorous standards they might encounter at any university. Which Credit Is Recommended? Only the university you plan to attend can accurately and finally answer that question. The AP Test is a 3 ½ hour test similar to the SAT Test. Good test taking skills are an asset. The Midland College – dual credit grade is earned throughout the year. The MC grading scale is used and letter grades, A , B , C , D , F , are awarded. Contact the university to determine if the AP Exam is required for advanced placement, the amount of credit awarded (6 hrs. or 8 hrs.), and whether a grade or credit only is awarded. Should I Take The AP EXAM? All students are encouraged to take the College Board Advanced Placement (AP) Exam. The honors course is designed to take the BC Exam. The AP exam provides objective placement and readiness information for the student and college. This information is especially useful for the students wanting to continue into more advanced math courses. CONTACT INFORMATION: Schedule: CALCULUS BC CALCULUS BC PRE-CALCULUS (Dual Credit only) --- Lunch -----Conference--PRE-CALCULUS PRE-CALCULUS PRE-CALCULUS Phone(s): MHS 689-1100 email: [email protected] Calculus I COURSE DESCRIPTION: MATH 2413 Calculus I (4-0) 4 Hours This course is designed to enable students to become proficient in introductory analytic geometry, the theory of limits, differential calculus of algebraic and trigonometric functions, applications of differentiation, antiderivatives, and the definite integral. AP Calculus – AB Level - is a full high school academic year of work that is comparable to calculus course in colleges and universities. This course is taught with the expectation that the student will seek college credit for the work done in class. The college credit may be earned any of three ways: Concurrent Credit through Midland College, credit by the exam through the “AP Exam,” or through the “CLEP” test. COURSE OUTLINE: CALCULUS I Functional notation and operations with functions Graphs of functions; Functions of mathematical models Definition of limit; Calculation of limits; Squeeze Theorem Vertical and Horizontal asymptotes Continuity (at a point or on an interval); Intermediate Value Theorem Definition of derivative, tangent and normal lines Differentiability and continuity Calculations of derivatives (power, product, quotient, chain rules, etc.) The Derivative as velocity, acceleration, and general rates of change Derivatives of the Trig Functions Implicit Differentiation and higher order derivatives Derivatives of the Inverse Trig Functions Derivatives of Exponential and Logarithmic Functions Motion and Related Rates problems Maxima and minima, both relative and absolute Rolle’s Theorem and Mean-Value Theorem First and Second Derivative Tests Graphical representation of functions and their derivatives Applications of the derivative Approximations by tangent lines, Differentials and applications in business L’Hopital’s Rule and Limits Antiderivatives; Indefinite and definite integrals Techniques of Integration Initial Value problems Separable Differential Equations and Modeling Growth Motion problems – Displacement and Total Distance Mean-Value Theorem for Integrals Fundamental Theorem of Calculus Representation of the Integral as a Riemann Sum and Area under a curve Summation Notation Numerical Integration and Approximation (Midpoint and Trapezoid Methods) Area of a plane region Volume Calculus II COURSE DESCRIPTION: MATH 2414 Calculus II (4-0) 4 Hours This course is designed to enable students to become proficient in the differentiation and integration of transcendental functions, techniques of integration, and applications of the definite integral. AP Calculus – BC Level - is a full high school academic year of work that is comparable to the calculus courses, Cal 1 and Cal 2, in colleges and universities. This course is taught with the expectation that the student will seek college credit for the work done in class. The college credit may be earned either of two ways: Concurrent Credit through Midland College, or credit by exam through the “AP Exam – BC Level.” COURSE OUTLINE: CALCULUS II Volumes of solids by slicing, disks, and washers Volumes of solids by cylindrical shells. Inverse of a function Natural Log function Logarithmic differentiation and integrals yielding Natural Log functions the Natural Exponential function. Applications Inverse Trig functions Integrals yielding Inverse Trig functions Hyperbolic functions Arc length of the graph of a function Center of Mass of a rod Centroid of a plane region Work Fluid Pressure Force Integration by parts Trigonometric integrals Integration by trig substitution. Integration of rational functions and logistic growth Integration by trig substitution techniques and tables Numerical integration. Additional Topics in Honors BC Calculus- to address the AP – BC Exam L’Hopital’s Rule Improper Integrals Polynomial Approximation and Taylor series Sequences Infinite series Convergence tests for series Absolute convergence Power Series – Radius and interval of convergence Error – Lagrange Form of the remainder (Taylor Series) ____________________________________________________________________________________ MIDLAND HIGH SCHOOL MIDLAND, TEXAS Instructor: Sarah Atchison Syllabus Addendum AP Calculus – BC MC Math 2413 – Calc 1 MC Math 2414 – Calc 2 Schedule: * Dual Credit PreCalculus MC Math 1314 MC Math 2414 CALCULUS BC CALCULUS BC PRE-CALCULUS (Dual Credit only) --- Lunch -----Conference --PRE-CALCULUS PRE-CALCULUS PRE-CALCULUS Phone(s): MHS 689-1100 email: [email protected] PLEASE READ WITH CARE THE SYLLABUS ADDENDUM. Note in particular the differing grading scales required by MIDLAND ISD and MIDLAND COLLEGE. ** RETAIN THE ATTACHED SYLLABUS AND THIS ADDENDUM FOR DISCUSSION WITH YOUR COLLEGE ADVISOR. Please sign and return this following portion of the letter to Midland High School. ----------------------------------------------------2011 - 2012 I have read the syllabus addendum, noting in particular the differing grading scales required by MIDLAND ISD and MIDLAND COLLEGE. Retain the above addendum for discussion with your college advisor. Sign and return this portion of the letter to Midland High School. NAME _______________________________________________________ STUDENT NAME _____________________________________________ CLASS __________________________________ PERIOD ___________