pre-calculus

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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
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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
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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 ___________
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