Creswell High School Calculus (LCC Math 251/252)
Instructors: Mr. Gary Jones
Textbook: A variety of books and online material. Unit Packets will be issued.
- Scientific Calculator (Graphing Calculator is highly recommended. The preferred calculator is the TI-83 or TI-84.)
- Spiral Notebook for daily assignments and class notes
- Notebook Paper & Pencil
Semester 1: Upon successful completion of this course, the student should be able to: 1. Understand the definition of the derivative as the limit of the difference quotient for a function. 2. Be able to use the definition of the derivative to find derivatives of certain elementary functions. 3. Find derivatives numerically utilizing technology. 4. Visualize and interpret derivatives graphically. 5. Understand and use the derivative of a function as a function in its own right. 6. Understand the development and use of procedures for differentiating polynomial, exponential, logarithmic, and trigonometric functions, including the inverse sine & inverse tangent functions. 7. Use the power, product, quotient, and chain rules to find derivatives of functions. 8. Use the technique of implicit differentiation to find derivatives of implicitly defined functions. 9. Find equations of tangent lines to the graphs of functions at specific points. 10. Understand local linearity and that the tangent line to the graph of a function at a specific point is the best linear approximation for the function at that point. 11. Use linear approximation to estimate function values. 12. Use the methods and techniques of differential calculus to solve a variety of application problems, including optimization and related rate problems. 13. Use a programmable graphing calculator as an effective tool in confirming analytical work and obtaining numerical and graphical results related to differential calculus.
Semester 2: Upon successful completion of this course, the student should be able to: 1. Estimate & calculate totals given information about rates of change 2. Understand the definite integral as a limit of Riemann sums. 3. Interpret the meaning of and use correct notation for a definite integral. 4. Compute definite integrals using the first fundamental theorem of calculus. 5. Understand how the definite integral and the average value of a function are related. 6. Use properties and theorems pertaining to integrals. 7. Graphically and numerically construct antiderivatives. 8. Work with elementary differential equations. 9. Work with functions defined in terms of definite integrals with a variable limit(s) of integration and apply the second fundamental theorem of calculus to the analysis of these functions. 10. Understand that the indefinite integral represents a family of antiderivative functions. 11. Find definite & indefinite integrals using basic rules, the substitution method, integration by parts, and trigonometric substitution. 12. Use the midpoint, trapezoid, and Simpson’s rule to approximate definite integrals. 13. Identify improper integrals that converge or diverge and compute their values where possible. 14. Use the methods & techniques of integral calculus to solve a variety of application problems. 15. Use a programmable graphing calculator as an effective tool in confirming analytical work and obtaining numerical and graphical results related to integral calculus.
Grades: Your grade will be based on:
35% Assignments (Homework and graded in-class work)
10% Participation (In class activities and practice, games, and behavior)
35% Chapter tests and Quizzes
15% Semester Comprehensive Final Exam
Grades are broken down as followed: A: 93% and above, A-: 90% to 92.9%,
B+: 88% to 89.9%, B: 83% to 87.9%, B-: 80% to 82.9%,
C+: 78% to 79.9%, C: 73% to 77.9%, C-: 70% to 72.9%,
D+: 68% to 69.9%, D: 63% to 67.9%, D-: 60% to 62.9%
F: Below 60%
Homework will be assigned almost daily. Many of the assignments will be complex and some in-class time will be used to work together on problems. Assignments from the book (unit packet) will be done in your notebook, while worksheets will be turned in to the basket in class.
Points for participation will be awarded for in-class activities and practice worksheets, games, and acceptable behavior. Unexcused absences and tardies along with misbehaving in class take away the ability to earn points.
Tests and Quizzes:
Each chapter will consist of two or three quizzes to check on progress. Occasionally, we will have short “POP” quizzes. Chapter tests will be announced a week in advance for students to spend time preparing for.
A Cumulative exam will be given at the end of each semester. Five points of extra Credit will be given for students who show me this Syllabus on the day of the exam.
Make-up work for excused absences will be allowed and you have one day for every day you are absent to receive full credit. Make-up for unexcused absences will only be given a grade, up to but not more than, 50%. This includes quizzes.
In Class activities and practice problems cannot be made up unless you have an excused absence.
Homework can be turned in late, but with a penalty of 10% per/day.
- Come to class prepared with notebook, pencil, calculator, and textbook.
- Get work done on time with accuracy.
- Show respect to your classmates, teacher and the classroom.
- Take care of your snack breaks and bathroom breaks before coming to class.