Course Syllabus
Teacher
Mr. Torre
Content
This course provides students with an understanding of the advanced concepts covered in the first semester of a college Calculus course. Students gain an understanding of differential and integral Calculus and how they are used to solve real-world problems.
The curriculum is set by College Board. Here is a list of units with approximate duration:
Unit | Days | Number of tests |
1. Limits and Continuity | 13 | 2 |
2. Differentiation: Definition and Fundamental Properties | 7 | 1 |
3. Differentiation: Composite, Implicit, and Inverse Functions | 6 | 1 |
4. Contextual Applications of Differentiation | 6 | 1 |
5. Analytical Applications of Differentiation | 8 | 2 |
6. Integration and Accumulation of Change | 12 | 2 |
7. Differential Equations | 6 | 1 |
8. Applications of Integration | 9 | 2 |
You can find a more detailed curriculum from Course at a GlanceLinks to an external site..
Student outcomes
Explore the concepts, methods, and applications of differential and integral calculus. Students will work to understand the theoretical basis and solve problems by applying the following skills:
- Determining expressions and values using mathematical procedures and rules
- Connecting representations
- Justifying reasoning and solutions
- Using correct notation, language, and mathematical conventions to communicate results or solutions
Communication
Please communicate any concerns or questions in person during school hours or through email at any time. I will address all student and parent questions in my email as thoroughly and promptly as possible. Do not expect an immediate response to emails outside of school hours.
Each student will leave the class with all information needed to complete assigned work before the scheduled completion date. Assignments and handouts will also be available through Canvas.
If you miss class, you must proactively review the materials on Canvas, promptly communicate with the teacher through email, and assume the responsibility of keeping up with the class.
Technology:
Each student should bring their graphing calculator to class. These are the most commonly used models:
- NumWorksLinks to an external site. (~$100)
- TI-83 / TI-84 Plus (~$100-120)
- TI-84 Plus CE (~$120-145)
If you are not sure of what calculator to acquire, talk to me. If you choose a calculator different from the ones listed above, make sure it is on the list of approved calculators for the AP examLinks to an external site..
We will sometimes need a computer during class time. Please bring your school laptop to class with a charged battery.
Check Your Understanding Exercises
Most days, there will be exercises provided to do at home. These exercises are an excellent opportunity to check if you understand the material.
Grading
- Assessments (90% of the course grade). There will be one or two tests per unit.
- Projects (10% of the course grade). Projects will give students an opportunity to collaborate with other students and deepen their knowledge of certain topics. Expect around one project per unit.
- AP exam. The AP exam in May is required of all students in this class. It counts as the course culminating assessment but is not part of the course grade.
Classroom rules:
- Show up ready to participate
- Be consistent in your effort
- Listen to whoever is speaking
- No phones
- Ask for help when you need it. The sooner, the better.