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Mathematics Elective II
Prerequisites: Scores of 5 (extremely well-qualified) on the Advanced Placement Examinations in BOTH Calculus AB and Calculus BC
JAMES R. ROGERS, Mathematics Teacher since 1969
B.S., Mathematics Education, University of Louisiana at Monroe
M.A., Mathematics, University of Mississippi
M.Ed., Secondary Education, University of Mississippi
MATERIALS
Sharpened pencils with erasers
Spiral notebook for permanent notes to be taken to college
Loose-leaf paper for daily assignments and tests
Graphing calculator
Textbooks: Houghton Mifflin Calculus, 5th and 7th Editions
Supplemental textbooks as appropriate
PROCEDURES
Students will learn from independent and directed study and research as individuals.
Homework involves after-hours in-school lessons.
GRADING
For each nine weeks average, grades are weighted as follows:
1. Unannounced (pop)tests count once.
2. Unit/chapter tests count three times.
3. In the first and third nine weeks periods, the comprehensive nine weeks test counts three times.
4. All other announced tests count twice.
The comprehensive semester examination counts 1/5 of the semester average.
Grading period averages are calculated according to MCSB policies, formulas, and scales.
GRADING SCALE
A 90-100 B 80-89 C 70-79 D 60-69 F 0-59
OUTCOMES (in accordance with State and District comprehensive curricula)
Upon successful completion of the course, a student will have demonstrated knowledge of functions of several variables and their limits and continuity, partial derivatives, differentials, chain rules for functions of several variables, directional derivatives and gradients, tangent planes and normal lines, extrema of functions of two variables and their applications, Lagrange multipliers, iterated integrals and areas in the plane, double integrals and volume, polar coordinate change of variables, center of mass and moments of inertia, surface area, triple integrals and their applications, triple integrals in cylindrical and spherical coordinates, Jacobian change of variables, vector fields, line integrals, conservative vector fields and independence of path, Green’s Theorem, parametric surfaces, surface integrals, divergence theorem, Stokes’s Theorem, differential equation definitions and concepts, separation of variables in first-order equations, exact first-order equations, first-order linear differential equations, second-order homogeneous linear equations, second-order nonhomogeneous linear equations, and series solutions of differential equations; and the student will have practiced applying his mathematical knowledge to everyday life.
BEHAVIORS
As befit a student in a non-entrance-level college course in mathematics
Prerequisites: Scores of 5 (extremely well-qualified) on the Advanced Placement Examinations in BOTH Calculus AB and Calculus BC
JAMES R. ROGERS, Mathematics Teacher since 1969
B.S., Mathematics Education, University of Louisiana at Monroe
M.A., Mathematics, University of Mississippi
M.Ed., Secondary Education, University of Mississippi
MATERIALS
Sharpened pencils with erasers
Spiral notebook for permanent notes to be taken to college
Loose-leaf paper for daily assignments and tests
Graphing calculator
Textbooks: Houghton Mifflin Calculus, 5th and 7th Editions
Supplemental textbooks as appropriate
PROCEDURES
Students will learn from independent and directed study and research as individuals.
Homework involves after-hours in-school lessons.
GRADING
For each nine weeks average, grades are weighted as follows:
1. Unannounced (pop)tests count once.
2. Unit/chapter tests count three times.
3. In the first and third nine weeks periods, the comprehensive nine weeks test counts three times.
4. All other announced tests count twice.
The comprehensive semester examination counts 1/5 of the semester average.
Grading period averages are calculated according to MCSB policies, formulas, and scales.
GRADING SCALE
A 90-100 B 80-89 C 70-79 D 60-69 F 0-59
OUTCOMES (in accordance with State and District comprehensive curricula)
Upon successful completion of the course, a student will have demonstrated knowledge of functions of several variables and their limits and continuity, partial derivatives, differentials, chain rules for functions of several variables, directional derivatives and gradients, tangent planes and normal lines, extrema of functions of two variables and their applications, Lagrange multipliers, iterated integrals and areas in the plane, double integrals and volume, polar coordinate change of variables, center of mass and moments of inertia, surface area, triple integrals and their applications, triple integrals in cylindrical and spherical coordinates, Jacobian change of variables, vector fields, line integrals, conservative vector fields and independence of path, Green’s Theorem, parametric surfaces, surface integrals, divergence theorem, Stokes’s Theorem, differential equation definitions and concepts, separation of variables in first-order equations, exact first-order equations, first-order linear differential equations, second-order homogeneous linear equations, second-order nonhomogeneous linear equations, and series solutions of differential equations; and the student will have practiced applying his mathematical knowledge to everyday life.
BEHAVIORS
As befit a student in a non-entrance-level college course in mathematics