Successful completion of Precalculus OR Foundations of Precalculus (C+ or higher)
This Calculus course aims to give students a comprehensive understanding of differential and integral calculus principles. Through a combination of theory, practical exercises, and problem-solving techniques, students will develop a deep appreciation for the foundational concepts of calculus. They will explore limits and derivatives, learning to solve mathematical problems involving change rates, optimization, and function analysis. Additionally, the course focuses on integral calculus, covering antiderivatives, definite integrals, and integration techniques. With a strong emphasis on practical applications in fields such as physics, economics, and engineering, students will be able to apply their knowledge to real-world problems. Students use technology to solve problems and draw conclusions. The course uses a multi-representative approach to calculus, with concepts and problems expressed numerically, graphically, verbally, and analytically to enhance the learning experience for students.
This course will enable the student to:
- Work with functions represented in a variety of ways: graphical, numerical, analytical, and verbal.
- Understand the meaning of the derivative in terms of a rate of change and use it to solve a variety of problems.
- Use technology to solve problems, experiment, interpret results, and verify conclusions.
- Appreciate calculus as a coherent body of knowledge and as a human accomplishment.
- Work with functions represented in a variety of ways: graphical, numerical, analytical and verbal.
- Understand the meaning of the integral as the area under a curve and use it to solve a variety of problems.
- Use technology to solve problems, experiment, interpret results, and verify conclusions.
- Appreciate calculus as a coherent body of knowledge and as a human accomplishment.
A variety of ongoing and frequent assessments, both formative and summative, will be used to develop students’ ability to communicate and apply their understanding of concepts being studied.