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• ##### Electives
Calculus Part 1
LI.MAT.402012.1.CE
Course Length: 1 Semester
Has Textbook: Yes
Calculus Part 1 explores higher-level mathematics through analytical/algebraic, numerical, graphical, and verbal methods. Students will study functions, graphs, limits, differentiation, applications of derivatives, as well as exponential and logarithmic functions.
It is recommended that students successsfully complete Pre-Calculus or equivalent course work before enrolling in this course.

Course Objectives

Unit 1: Essential Content and Skills

• Use inequalities to model and solve real-life problems.
• Break down expressions with exponents.
• Use special products and factorization techniques to factor polynomials.
• Solve rational expressions.
• Find the x-intercepts and y-intercepts of equations.
• Use the slope-intercept form of a linear equation to sketch graphs.
• Use the point-slope form to write equations of lines.

Unit 2: Essential Content and Skills

• Find limits of functions graphically and numerically.
• Use the limit definition to find the derivatives of functions.
• Describe the relationship between differentiability and continuity.
• Apply the Power Rule to find the derivatives of functions.
• Find the instantaneous rates of change of functions at points.
• Use the Product Rule to find the derivatives of functions.
• Apply the Quotient Rule to find the derivatives of functions.

Unit 3: Essential Content and Skills

• Use the Chain Rule and General Power Rule to find derivatives.
• Find higher-order derivatives.
• Discover and use the position functions to determine the velocity and acceleration of moving objects.
• Find derivatives implicitly.
• Solve related-rate problems.
• Use the First-Derivative Test to find the relative extrema of functions.
• Discover the points of inflection of the graph of functions.

Unit 4: Essential Content and Skills

• Find the differentials of functions.
• Use differentials to approximate changes in functions.
• Discover the derivatives of natural exponential functions.
• Apply calculus to analyze the graphs of functions that involve the natural logarithmic function.
• Find derivatives of exponential and logarithmic functions involving other bases.
• Use exponential growth to model real-life situations.

Course Materials

• Calculus: An Applied Approach (textbook)

*Available as an iText course

**NCAA approved