Paano ba gumaling sa math?”

On this course, the students must know how to determine the limit of a function, differentiate, and integrate algebraic, exponential, logarithmic, and trigonometric functions in one variable, and to formulate and solve problems involving continuity, extreme values, related rates, population models, and areas of plane regions.

This course is patterend under the Teaching Guide for Teaching Senior High School "**SHS**" Framework, which stands for “**Saysay-Husay-Sarili** for Senior High School.”

1.1 Introduction: Solving Limit of a Function

1.2 Different Techniques on Solving Limits

1.3 Evaluating Limit Given the Graph of the Function

2.2 Derivative Rule: Power and Constant Rules

2.3 Practice Exercises on Power and Constant Rules

* 2.5 Computing for the Tangent Line of a Function at a Given Point

2.8 Practice Exercises on Using Chain Rule

2.9 Differentiating Trigonometric Functions

2.10 Practice Exercises on Using Derivatives of Trig. Functions

2.11 Differentiating the Inverse of Trigonometric Functions

2.12 Derivatives – Exponential Functions (e and constant)

2.13 Derivative ng Logarithmic at Ln Functions

2.14 Practice Exercises on Using Derivative Rule of Logarithmic Functions

3.1 Writing the Tangent Line of a Function at a Point

3.2 Using the Derivative Rules in Differentiating Functions

3.3 Finding the Derivative of a Function Given its Table of Values

3.5 Higher Order Derivative Using Implicit Differentiation

3.6 Solving Related Rates Problems on Circle and Balloons

3.7 Solving Related Rates Problems on Cones and Ladder

3.8 Practice Exercises on Related Rates

3.9 Solving Word Problems on Optimization

3.10 Practice Exercises on Solving Optimization Problems

3.11 Using Derivatives in Solving Problems on Rectilinear Motion

4.1 Computing for Antiderivative of a Function

4.2 Solving Area Under the Curve Using Reimann Sums

4.3 Solving Area Under the Curve Using Reimann Sums with Graphing Calculator

4.4 Applications of Reimann Sums in Approximating Distance Traveled

4.5 Evaluating Definite Integrals

4.6 Properties of Integration and Absolute Value Integration

4.7 Fundamental Theorem of Calculus and Integration Using Substitution Method

4.8 Application of Definite Integral in Solving Problems in Motion

4.9 Solving Area Between Curves

4.10 Solving Area Using Subregions

5.4 First Derivative Test: local extrema and direction of function

5.5 Second Derivative Test: Concavity and Point of Inflection

5.6 Solving Volumes of a Solid Rotated on an Axis: Disk Method

5.7 Solving Volumes of a Solid Rotated on an Axis:WASHER method

5.8 Computing for Volumes using Known Cross-Section

5.9 Integration Using the U-Substitution Method

5.10 Analyzing the graph of f(x) Using the derivative graph: f'(x)