MA101: Single-Variable Calculus I

Upon successful completion of this unit, you will be able to:

• solve problems involving rectilinear motion using derivatives;
• solve problems involving related rates;
• use the first and second derivative tests to solve optimization (maximum/minimum value) problems;
• state and apply Rolle's Theorem and the Mean Value Theorem;
• explain the meaning of linear approximations and differentials with a sketch;
• use linear approximation to solve problems in applications;
• state and apply L'Hopital's Rule for indeterminate forms;
• explain Newton's method using an illustration; and
• execute several steps of Newton's method and use it to approximate solutions to a root-finding problem.