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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)

1.1 Describing the Domain and Range of a Function

1.2 Graphing Function by Modeling

1.3 Evaluating Function and Function Operations

1.5 Evaluating Composite Function

1.6 Finding the Domain of a Rational Function

1.7 Finding the Horizontal Asymptote of a Rational Function

1.8 Finding the Inverse of the Function Algebraically and Graphically

2.1 Converting Exponential to Logarithmic Function

2.2 Solving Logarithmic Expressions

2.3 Using Properties of Logarithms

2.4 Applications of the Properties of Logarithms

2.5 Solving Logarithmic Equations

2.6 Solving Logarithmic Equation Using the Change of Base Formula

1.1 Evaluating Factorial Notations

1.2 Evaluating Sequences and Series

1.3 Solving Arithmetic Sequence

1.4 Evaluating Geometric Sequence

1.5 Evaluating Summation Notation

1.6 Performing Proof of Math Induction

1.7 Mastering Factoring Polynomials

1.8 Solving for the Roots of the Factorable Polynomial

1.9 Dividing Polynomials (Long Division and Synthetic Division)

1.10 Remainder Theorem and Factor Root Theorem

1.11 Practice Exercises on Using the Factor Root and Remainder Theorem

3.1 Probability Rules and Dependent and Independent Events

3.3 Probability Using Two-Way Table, Venn Diagram, and Tree Diagram

4.1 Calculating Quartiles of Ungrouped Data

4.2 Calculating Percentile Using Z-Scores

2.1 Translations of Verbal to Numerical Expressions

2.2 Evaluating Algebraic Expressions

2.3 Classifying and Operations on Polynomials

3.1 Solving Linear Equations in One Variable

3.2 Solving and Graphing Linear Inequalities

3.4 Graphing Systems of Linear Inequalities

3.5 Practice Exercises on Graphing Systems of Linear Inequalities

4.1 Identifying Quantitative and Qualitative Data

4.2 Graphing and Interpreting a Dotplot

1.1 Factoring Polynomials Using its GCF (Greatest Common Factor)

1.2 Factoring Quadratics: ax^2 + bx + c, a=1

1.3 Factoring Quadratics: ax^2 + bx + c, a>1

1.4 Solving for the Solutions of Factors of Polynomials

1.5 Simplifying Rational Algebraic Expressions

1.6 Simplifying Algebraic Rational Expressions by Factoring

1.7 Multiplication and Division of Rational Algebraic Expressions

1.8 Addition and Subtraction of Rational Algebraic Expressions

1.9 Practice Exercises on Operations Involving Rational Algebraic Expressions

1.10 The Cartesian (Rectangular) Coordinate System

1.11 Using the Coordinate System in Modeling Equations

1.12 Finding Slope Given Two Points

1.13 Writing Linear Equation Given the Slope and the Y-Intercept

1.14 Slope-Intercept Form Given 2 Points

1.15 Using the Point-Slope Form in Writing the Equation of a line

2.1 Solving System of Linear Equations by Graphing

2.2 Identifying Types of Solutions of System of Linear Equations by Graphing

2.3 Solving System of Linear Equations by Substitution

2.4 Solving System of Linear Equations by Elimination Method

2.5 Practice Exercises on Solving Systems of Linear Equations with 2 Variables

2.6 Graphing Linear Inequalities with 2 Variables and Solving Systems of Linear Inequalities

2.7 Describing the Domain and Range of a Function

2.8 Graphing Linear Equations Using the y-Intercept and x-intercept

4.1 Computing For Probability - Classical Probability and Sample Space

4.2 Experimental Probability or Theoretical Probability

4.3 Probability Rules and Probability of Dependent and Independent Events Part 1

4.4 Probability Rules and Probability of Dependent and Independent Events Part 2

1.1 Factoring Quadratic Equations ax2 + bx + c; a=1

1.2 Factoring Quadratic Equations ax2 + bx + c; a>1

1.3 Solving Quadratic Equations by Extracting Square Roots

1.4 Solving Non-Factorable Quadratic Equations by Quadratic Formula and Completing the Square

2.2 Simplifying Radical Expressions

2.3 Simplifying Expressions with Rational Exponents

2.4 Practice Exercises on Using the Law of Exponents on Expressions with Rational Exponents

2.5 Addition and Subtraction of Radical Expressions

4.1 Introduction to Trigonometry

4.2 Understanding the Unit Circle

4.3 Solving Right Triangle Trigonometry – SOH CAH TOA

4.4 Solving for the 6 Trigonometric Ratio

4.5 Solving the Missing Side(s) of a Right Triangle

1.1 Introduction to Conic Sections

1.3 Writing the Standard and General Form of a Parabola

1.5 Writing the Standard and General Form of a Ellipse

1.8 Converting General Form of a Conic Section to its Standard Form

2.1 Series and Factorial Notations

2.2 Evaluating Summation or Sigma Notation

3.2 Converting of Degree Measure to Radian Measure and Vice Versa

3.3 Right Triangle Trigonometry Using Pythagorean Theorem

3.4 Using the 6 Trigonometric Ratio in Solving Triangle

3.5 Graphing Sine and Cosine Function

3.6 Graphing Secant and Cosecant Functions

3.7 Practice Exercises on Graphing Trigonometric Functions and its Inverse

3.8 Solving Trigonometric Equations

3.9 Simplifying Trigonometric Identities

3.10 Solving Trigonometric Equations Using the Identities

3.11 Proving Trigonometric Identities

3.12 Sum and Difference Identity Formula

3.13 Converting Rectangular Coordinate to Polar Form of Trig. Functions

3.14 Multiplying and Dividing Polar Forms of Trigonometric Functions

3.15 Expanding Polar Form of Trigonometric Functions Using De Moivre's Theorem

1.1 Identifying Discrete Random Variable and Continuous Random Variable

1.2 Computing for Probability of Discrete Random Variable

1.3 Two Cases on Solving Probability of Discrete Random Variable

1.4 Calculating the Mean and Standard Deviation of Discrete Random Variable

1.5 Solving Probability on BINOMIAL Distribution

1.6 More Examples on Solving Binomial Probability

1.7 Finding the Mean and Standard Deviation of a Binomial Distribution

1.8 Probability and Measures of Negative Binomial or Geometric Distribution

2.1 Characteristic of Normal Distribution in Relation to Continuous Random Variable

2.2 Empirical Rule: 68-95-99.7 Rule

2.3 Solving Probability using the Empirical Rule

2.4 Solving Percentile of a Normal Distribution

2.5 Solving Normal Probability Using the Z-Score of the Distribution

2.6 Solving Normal Probability Using the Z-Table

2.7 Computing for Normal Probability Using a Graphing Calculator

3.1 Parameter VS Statistic and the Central Limit Theorem

3.2 Mean and Standard Deviation of the SAMPLE MEAN

3.3 Verifying Conditions of the Sampling Distribution of a SAMPLE PROPORTION

3.4 Computing for the Normal Approximation for Sample Proportion

4.1 Introduction to Confidence Interval

4.3 Calculating Confidence Interval for Sample Mean using T-distribution (parameter is NOT KNOWN)

4.4 Computing for the margin of error, point estimate, and standard error using T-distribution

4.5 Calculating the Desired Sample Size For Estimating the Parameter of Population Mean

4.6 Confidence Interval of Matched-Pairs Design for One-Sample Mean

4.7 Confidence Interval and Desired Sample Size for One-Sample Proportion

4.8 Procedures in Performing Confidence Interval for Population Proportion

5.1 Introduction to Hypothesis Testing

5.2 Performing Hypothesis Test for One-Sample Mean

5.3 Performing Hypothesis Testing on Paired t-Test (Difference of 2 Means)

5.4 Hypothesis Testing for Two-Sample Means

5.5 Type 1 and Type 2 Errors in Conducting Hypothesis Testing

5.6 Performing Hypothesis Testing On One-Sample Proportion

5.7 Performing Hypothesis Testing For Two-Sample Proportions

6.1 Independent vs Dependent Quantitative Variables

6.2 Interpreting Scatterplot and the Correlation Coefficient

6.3 Calculate the Slope and the Y-intercept of the Regression Line

6.4 Calculating Y = a + bx Given the Mean, Standard Deviation and R of the Data

6.5 Linear Transformation of Non-Linear Regression Line

6.6 Performing Linear Transformation in a Non-Linear Regression Line