Mathematics


In this page I link to my math curriculum. After finishing intermediate algebra, I'm focusing on calculus.

In 2015, I started working on calculus after completing my intermediate algebra book:


The calculus problems I'm posting here are quite interesting. Textual questions are usually most challenging. I'm learning from several sources. Currently, I'm learning from the Servay, Jewett Physics text book.



I have a few separate pages that display video tutorials and text tutorials and my intermediate/advanced math exercises in the following topics
Calculus and Kinematics
General Math




Calculus topics I worked on:

P.1 Graphs and Models
P.2 Linear Models and Rates of Change
P.3 Functions and Their Graphs

Limits and their properties
1.2 Finding Limits Graphically and Numerically
1.3 Evaluating Limits Analytically
1.5 Infinite Limits

Differentiation
2.1 The Derivative and the Tangent Line Problem
2.2 Basic Differentiation Rules and Rates of Change
2.5 Implicit Differentiation

Applications of Differentiation
3.3 Increasing and Decreasing Functions and the First Derivative Test
3.5 Limits at Infinity
3.9 Differentials

Integration
4.1 Antiderivatives and Indefinite Integration
4.2 Area
4.5 Integration by Substitution

Logarithmic, Exponential and Other Transcendental Functions
5.2 The Natural Logarithmic Function: Integration
5.3 Inverse Functions
5.7 Inverse Trigonometric Functions: Integration

Differential Equations
6.1 Slope Fields and Euler’s Method
6.3 Separation of Variables and the Logistic Equation
6.4 First-Order Linear Differential Equations

Applications of Integration
7.1 Area of a Region Between Two Curves
7.2 Volume: The Disk Method
7.3 Volume: The Shell Method

Integration Techniques, L’Hopital’s Rule and Improper Integrals
8.1 Basic Integration Rules
8.2 Integration by Parts
8.3 Trigonometric Substitution

Infinite Series (To Be Done)
Conics, Parametric Equations and Polar Coordinates
10.1 Conics and Calculus
10.4 Polar Coordinates and Polar Graphs
10.5 Area and Arc Length in Polar Coordinates

Vectors and the Geometry of Space (Current)