Calculus is one of the greatest achievements of human thought. Calculus enables us to learn from the path of planetary orbits to the optimal size of a city. This intuitive course covers the core ideas of the calculus of single-variable. This course focuses on the conceptual understanding of the subject and its applications. Ideal students for this course are, students beginning in the engineering, physical, and social sciences.

This of this course Calculus for Beginners is to address the most important foundations for applications of mathematics in science, engineering and commerce. Main emphasis of this course is in ideas and historical motivation of calculus, while at the same time striking a balance between theory and application. This way we can master the concepts of calculus with an intuitive foundation.

Students taking this course Calculus for Beginners will:

• Gain familiarity with key ideas of pre-calculus, including the manipulation of equations and elementary functions.

• Learn, L'Hopital's rule to evaluate limits.

• Learn a new language for describing the growth and decay of functions.

• Develop fluency with the preliminary methodology of tangents and limits and the definition of a derivative.

• Develop and practice methods of differential calculus with applications.

• Develop and practice methods of the integral calculus.

• On successful completion of this course, you will be well prepared to do the following things regarding linear, exponential, logarithmic, polynomial, rational, and trigonometric functions.

• Describe the behavior and properties of such functions.

• Solve problems involving such functions.

• Understand and apply such functions to real-world problems.

• Begin your study of calculus.

  
  

  As you begin the course you should already have a strong understanding of algebraic skills such as factoring, basic equation solving, and the rules of exponents and radicals. You will concentrate primarily on linear, exponential, logarithmic, polynomial, rational, and trigonometric functions. Content in this course will be adaptive, allowing you to achieve mastery in a certain concept before moving on to the next.