# Ap Precalculus Course Outline

Table of Content:

## 1. Precalculus Course

Learn Precalculus in this full college course. These concepts are often used in programming.

This course was created by Dr. Linda Green, a lecturer at the University of North Carolina at Chapel Hill. Check out her YouTube channel: youtube.com/channel/UCkyLJh6hQS1TlhUZxOMjTFw

⭐️ Lecture Notes ⭐️
🔗 Part 1 - Functions: lindagreen.web.unc.edu/files/2020/08/courseNotesM130_2019S_Part1_Functions.pdf
🔗 Part 2 - Trigonometry: lindagreen.web.unc.edu/files/2020/08/courseNotesM130_2019S_Part2_Trig.pdf
🔗 Part 3 - Conic Sections: lindagreen.web.unc.edu/files/2020/08/courseNotesM130_2019S_Part3_ConicSections.pdf
🔗 Part 4 - Parametric Equations, Polar Coordinates, and the Difference Quotient: lindagreen.web.unc.edu/files/2020/08/courseNotesM130_2019S_Part4_ParametricPolarDiffQuot.pdf

⭐️ Course Contents ⭐️
⌨️ (0:00:00) Functions
⌨️ (0:12:06) Increasing and Decreasing Functions
⌨️ (0:17:35) Maximums and minimums on graphs
⌨️ (0:26:38) Even and Odd Functions
⌨️ (0:36:12) Toolkit Functions
⌨️ (0:43:18) Transformations of Functions
⌨️ (0:55:48) Piecewise Functions
⌨️ (1:00:19) Inverse Functions
⌨️ (1:14:34) Angles and Their Measures
⌨️ (1:22:47) Arclength and Areas of Sectors
⌨️ (1:28:39) Linear and Radial Speed
⌨️ (1:33:02) Right Angle Trigonometry
⌨️ (1:40:38) Sine and Cosine of Special Angles
⌨️ (1:48:41) Unit Circle Definition of Sine and Cosine
⌨️ (1:54:11) Properties of Trig Functions
⌨️ (1:04:50) Graphs of Sine and Cosine
⌨️ (2:11:23) Graphs of Sinusoidal Functions
⌨️ (2:21:36) Graphs of Tan, Sec, Cot, Csc
⌨️ (2:30:29) Graphs of Transformations of Tan, Sec, Cot, Csc
⌨️ (2:39:02) Inverse Trig Functions
⌨️ (2:48:49) Solving Basic Trig Equations
⌨️ (2:55:49) Solving Trig Equations that Require a Calculator
⌨️ (3:05:44) Trig Identities
⌨️ (3:13:16) Pythagorean Identities
⌨️ (3:18:37) Angle Sum and Difference Formulas
⌨️ (3:26:33) Proof of the Angle Sum Formulas
⌨️ (3:31:09) Double Angle Formulas
⌨️ (3:38:39) Half Angle Formulas
⌨️ (3:44:50) Solving Right Triangles
⌨️ (3:51:24) Law of Cosines
⌨️ (4:01:24) Law of Cosines - old version
⌨️ (4:09:44) Law of Sines
⌨️ (4:17:34) Parabolas - Vertex, Focus, Directrix
⌨️ (4:29:24) Ellipses
⌨️ (4:40:33) Hyperbolas
⌨️ (4:54:23) Polar Coordinates
⌨️ (5:01:55) Parametric Equations
⌨️ (5:13:22) Difference Quotient

--

Read hundreds of articles on programming: freecodecamp.org/news

## 4. What is Pre-Calculus

TabletClass Math:

Math help with Pre-Calculus and an overview of the topics in Pre-Calculus. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at tcmathacademy.com/

Math Notes:

Pre-Algebra Notes: tabletclass-math.creator-spring.com/listing/pre-algebra-power-notes
Algebra Notes: tabletclass-math.creator-spring.com/listing/algebra-power-notes
Geometry Notes: tabletclass-math.creator-spring.com/listing/geometry-power-notes
Algebra 2 / Trig Notes: tabletclass-math.creator-spring.com/listing/algebra-2-and-trigonometry-pow

## 5. Overview for New AP Pre-Calculus [College Algebra for Science]

Elite On-line Computer Science Education

We provide on-line MOOC courses, on-line private tutoring, on-line group courses and in-person courses. Help you to get better the way that best suits your personal goals.

eC Learning Channel---------------------------------------------
School Web-Site:
eCode24.com
On eC Learning Channel (eCodeHacker.com) MOOC:
eCodeHacker.com

Reach the Professor ---------------------------------------------

For online tutoring or group courses, just send a message to my facebook account.

## 7. DSchroeder AP PreCalculus Video

DSchroeder AP PreCalculus Video

## 8. Why People FAIL Calculus (Fix These 3 Things to Pass)

Calculus is one of the biggest struggles for many college students. I'm talking today about my three biggest reason as to why students fail calculus. I hope this video helps you out and gets you on the road to passing your calculus class!
#calculus #calculus #brithemathguy

►BECOME A CHANNEL MEMBER

►MY COURSE
Prove It Like A Mathematician! (Intro To Math Proofs)
udemy.com/course/prove-it-like-a-mathematician/?referralCode=D4A14680C629BCC9D84C

Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information.

## 9. How the New AP Precalculus Affects Underclassmen and My Thoughts on the New Digital SAT

*Note the Digital SAT will be offered at home. Students will have to download the testing software. This will likely include anti-cheating measures like other standardized digital tests, though the details on such isn't clear yet. As of now, the Digital SAT is only offered to International and will be offered to US students by 2024, so this becomes relevant to current Sophomores and down. Current juniors already be done with college applications by the time the Digital SAT is made available. Of course, all of this is subject to change, so please always go to satsuite.collegeboard.org/digital to get the latest info!

Collegeboard AP Precalculus Info:
apcentral.collegeboard.org/courses/ap-precalculus

Full-length CB Digital SAT Practice tests:
satsuite.collegeboard.org/digital/digital-practice-preparation/practice-tests/linear

Elite's Old vs New SAT difference chart:
eliteprep.com/blog/2022/7/6/the-new-digital-sat

PR's Digital SAT Exam explanation:

Applerouth.com - SAT Scoring breakdown:
applerouth.com/blog/2022/11/22/deep-dive-on-the-4-digital-sat-practice-tests/

## 10. PreCalculus Full Course For Beginners

In mathematics education, #precalculus or college algebra is a course, or a set of courses, that includes algebra and trigonometry at a level which is designed to prepare students for the study of calculus. Schools often distinguish between algebra and trigonometry as two separate parts of the coursework.

⌨️ (0:00:00) The real number system
⌨️ (0:08:24) Order of operations
⌨️ (0:16:31) Interval notation
⌨️ (0:24:19) Union and intersection
⌨️ (0:30:36) Absolute value
⌨️ (0:38:16) Absolute value inequalities
⌨️ (0:55:06) Fraction multiplication
⌨️ (1:02:16) Fraction devision
⌨️ (1:10:46) Exponents
⌨️ (1:34:40) Lines
⌨️ (1:43:44) Expanding
⌨️ (1:52:00) Pascal's review
⌨️ (1:59:14) Polynomial terminology
⌨️ (2:08:22) Factors and roots
⌨️ (2:28:54) Factoring formulas
⌨️ (2:37:30) Factoring by grouping
⌨️ (2:43:52) Polynomial inequalities
⌨️ (2:52:57) Rational expressions
⌨️ (3:00:12) Functions - introduction
⌨️ (3:04:05) Functions - Definition
⌨️ (3:10:08) Functions - examples
⌨️ (3:19:05) Functions - notation
⌨️ (3:27:21) Functions - Domain
⌨️ (3:34:43) Functions - Graph basics
⌨️ (3:44:33) Functions - arithmetic
⌨️ (3:53:00) Functions - composition
⌨️ (4:03:40) Fucntions - inverses
⌨️ (4:17:32) Functions - Exponential definition
⌨️ (4:27:25) Functions - Exponential properties
⌨️ (4:35:55) Functions - logarithm definition
⌨️ (4:44:00) Functions - logarithm properties
⌨️ (4:53:21) Functions - logarithm change of base
⌨️ (4:59:31) Functions - logarithm examples
⌨️ (5:09:29) Graphs polynomials
⌨️ (5:20:14) Graph rational
⌨️ (5:39:32) Graphs - common expamples
⌨️ (5:50:36) Graphs - transformations
⌨️ (5:58:37) Graphs of trigonometry function
⌨️ (6:08:20) Trigonometry - Triangles
⌨️ (6:16:04) Trigonometry - unit circle
⌨️ (6:34:10) Trigonometry - Special angles
⌨️ (6:43:56) Trigonometry - The six functions
⌨️ (6:51:19) Trigonometry - Basic identities
⌨️ (6:57:15) Trigonometry - Derived identities

## 12. How I Learned AP Calculus BC in 5 DAYS and got a 5 (Ultralearning HACKS)

This is my first ever content on YouTube and I hope you found it valuable! Let me know what you think and where I should take this channel ;) I got some more videos coming soon so be sure to subscribe and stay tuned! (How to hustle internships, investing, college apps, generating wealth, idk comment below hehe)

Discord: discord.gg/KjFPeRMVDX

Original Blog Post: oneskillaweek.com/calculus.html
______________
Personal Website- sigilwen.ca
One Skill a Week- oneskillaweek.com
Instagram: instagram.com/sigil.wen/
Subreddit: reddit.com/r/OneSkillAWeek/

______________
NightTime Formula that I use: slashopp.mynuskin.com/content/nuskin/en_CA/products/product.02003516.mysite.html
Scott H. Young MIT Challenge: scotthyoung.com/blog/myprojects/mit-challenge-2/
Nat Eliason Deliberate practice: nateliason.com/blog/deliberate-practice
The Essence of Calculus 3Blue1Brown: youtube.com/watch?v=WUvTyaaNkzM
The 20 Hour Rule TED Talk: youtu.be/5MgBikgcWnY
Learn how to Learn Coursera: coursera.org/learn/learning-how-to-learn
Productivity Chrome Extension: inmotion.app/
My mechanical keyboard: amzn.to/2WxqZXR

#apcalculus #ultralearning #apexams #apcalculusbc

## 13. 새로운 AP Precalculus (새로운 AP 수학 칼리지보드 추가 2023) NEW AP-프리칼큘러스 AP, STEM 메이저와 GPA 를 올리고싶은학생에게 좋은기회 입니다.

칼리지 보드 AP 에서 추가로 AP Precalculus 런칭
칼리지보드 새로운 수학 AP 칼큘러스 정보
가장 쉬운 수학 AP AP Precalculus

명문 합격뿐만이아닌 행복한 학생을 생각 합니다.
아이비 칼리지 어드미션
Right Fit 명문대학을 생각 하시나요? 최고의 어드미션 컨설턴트를 찿고 계신가요? 하버드 웨스트레이크 학부모, 콜롬비아 유니버시티 학부모 인 JOYCE KIM​ 은 14년 경력의 컨설턴트 입니다. 먼저 편한 마음으로 무료상담을 권해드립니다. 한차원 높은 생각과 실력, 아이비 칼리지 어드미션 - JOYCE KIM & ASSOCIATES 은 EXCLUSIVE 밀착 소수인원 멤버 컨설팅 입니다. 조이스김과 어소시에이트는 COLUMBIA UNIVERSITY 출신, 명문 어드미션 오피서 출신 & 아이비리그 에세이 어드바이저 (COLLEGE ESSAY) HARVARD, MIT, STANFORD, YALE, Columbia 출신이 함께 합니다. HARVARD, MIT, STANFORD, YALE RESEARCH PROJECT 에 관심이 있나요?
조이스김 의 미국대학입시 컨설팅, 무료상담: [email protected]
구글 검색 : 아이비 칼리지 어드미션
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아이비 칼리지 어드미션 - Joyce Kim & Associates
Live Your Best Life : 입시성공을 넘어 학생 인생에 필요한 Happiness 도 중요시 생각하고
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내셔널 어소시에이션 포 어드미션 카운셀링 맴버 - 조이스 김
국제대학 입학 상담학회 NACAC 회원

CALCULUS AB 전에 수강해야할 AP - Pre-Calculus AP - Coming this Fall 2023
CALCULUS BC 전에 수강해야할 AP - Pre-Calculus AP - Coming this Fall 2023
STEM Major 에게 도움되는 AP - Pre-Calculus AP - Coming this Fall 2023
GPA 높이는데 필요한 AP - Pre-Calculus AP - Coming this Fall 2023

AP Resources
List of AP Courses -College Board
Content Courtesy : College Board

AP 미술사 (Art History)
AP 생물학 (Biology)
AP 미적분학 (Calculus AB, BC)
AP 화학 (Chemistry)
AP 통계학 (Statistics)
AP 중국어와 문화 (Chinese Language and Culture)
AP 컴퓨터과학 A (Computer Science A)
AP 컴퓨터과학 기본 (Computer Science Principles)
AP 거시경제학 (Macroeconomics)
AP 미시경제학 (Microeconomics)
AP 영어 (English Language & Composition)
AP 영문학 (English Literature & Composition)
AP 환경과학 (Environmental Science)
AP 유럽사 (European History)
AP 프랑스어와 문화 (French Language and Culture)
AP 독일어와 문화 (German Language and Culture)
AP 비교정부정치학 (Comparative Government & Politics)
AP 미국정부정치학 (U.S. Government & Politics)
AP 인문지리학 (Human Geography)
AP 이탈리아어와 문화 (Italian Language and Culture) [10]
AP 일본어와 문화 (Japanese Language and Culture)
AP 라틴어 (Latin)
AP 음악이론 (Music Theory)
AP 물리학 (Physics 1, 2, C: Mechanics, C: Electricity and Magnetism)
AP 심리학 (Psychology)
AP 스페인어와 문화 (Spanish Language and Culture)
AP 스페인문학 (Spanish Literature and Culture)
AP 스튜디오 미술 (Studio Art)
AP 미국사 (U.S. History)
AP 세계사: 현대 (World History: Modern)
AP 세미나 (Seminar)
AP 리서치 (Research)
From College Board 2023

Ap List

AP Capstone Diploma Program
About the AP Capstone Diploma Program
AP Research
AP Seminar
Arts
AP Art and Design Program
AP Art History
AP Music Theory
English
AP English Language and Composition
AP English Literature and Composition
History and Social Sciences
AP Comparative Government and Politics
AP European History
AP Human Geography
AP Macroeconomics
AP Microeconomics
AP Psychology
AP United States Government and Politics
AP United States History
AP World History: Modern
Math and Computer Science
AP Calculus AB
AP Calculus BC
AP Computer Science A
AP Computer Science Principles
AP Statistics
Sciences
AP Biology
AP Chemistry
AP Environmental Science
AP Physics 1: Algebra-Based
AP Physics 2: Algebra-Based
AP Physics C: Electricity and Magnetism
AP Physics C: Mechanics
AP World Languages and Cultures
AP Chinese Language and Culture
AP French Language and Culture
AP German Language and Culture
AP Italian Language and Culture
AP Japanese Language and Culture
AP Latin
AP Spanish Language and Culture
AP Spanish Literature and Culture

#새로운AP, #가장쉬운AP수학, #GPA유리AP

## 14. AP PreCalc Description for Hayfield SS

This will inform you about the course as offered at Hayfield. Why you should (Or shouldn't ) take this course

## 15. Become a Calculus Master in 60 Minutes a Day

In this video I go over how to become much better at calculus by spending about 60 minutes a day.

*************Here are my calculus courses on Udemy*****************

Calculus 1 Course
udemy.com/course/calculus-1-with-the-math-sorcerer/?referralCode=E853B70ED36571CA9768

Calculus 2 Course
udemy.com/course/calculus-2-with-the-math-sorcerer/?referralCode=BAA5520B32FEA9827D54

Calculus 3 Course
udemy.com/course/calculus-3-with-the-math-sorcerer/?referralCode=296462D1897904C4BEB3

Calculus Integration Insanity
udemy.com/course/calculus-integration-insanity-with-the-math-sorcerer/?referralCode=D533EEE31F90EDDAFF93

************Here are the books from this video on amazon*************
Brief Applied Calculus
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College Algebra by Blitzer: amzn.to/2L84PsA or amzn.to/3biWJIq
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Calculus by Larson amzn.to/3hZlquK
Calculus by Stewart amzn.to/39hBfsR
Calculus by Lial, Greenwell, Ritchey: amzn.to/3ny7VUb
Thomas Calculus(updated from the version in this video): amzn.to/39nIAa6
Calculus by Ostebee, Zorn amzn.to/3skXPtt
Essential Calculus with Applications by Silverman amzn.to/38uuKnc
Calculus by Lang amzn.to/2LDdALc
Calculus by Spivak amzn.to/2MSGw2w
Calculus Made Easy by Thompson amzn.to/2Lil8De

If you enjoyed this video please consider liking, sharing, and subscribing.

Udemy Courses Via My Website: mathsorcerer.com

There are several ways that you can help support my channel:)

Consider becoming a member of the channel: youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join
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Donate via PayPal: paypal.com/donate/?cmd=_s-xclick&hosted_button_id=7XNKUGJUENSYU

Abstract Algebra Course
udemy.com/course/abstract-algebra-group-theory-with-the-math-sorcerer/?referralCode=B04607DA7A7D0E29272A

Calculus 1 Course
udemy.com/course/calculus-1-with-the-math-sorcerer/?referralCode=E853B70ED36571CA9768

Calculus 2 Course
udemy.com/course/calculus-2-with-the-math-sorcerer/?referralCode=BAA5520B32FEA9827D54

Calculus 3 Course
udemy.com/course/calculus-3-with-the-math-sorcerer/?referralCode=296462D1897904C4BEB3

Calculus Integration Insanity
udemy.com/course/calculus-integration-insanity-with-the-math-sorcerer/?referralCode=D533EEE31F90EDDAFF93

Differential Equations Course
udemy.com/course/differential-equations-with-the-math-sorcerer/?referralCode=4F0D91B41F7DACF4EC28

College Algebra Course
udemy.com/course/college-algebra-with-the-math-sorcerer/?referralCode=B2929EE97EF68DB9B69F

How to Write Proofs with Sets Course
udemy.com/course/how-to-write-proofs-in-set-theory-with-the-math-sorcerer/?referralCode=D503A7E3FB6916CF2D27

How to Write Proofs with Functions Course
udemy.com/course/how-to-write-proofs-with-functions-with-the-math-sorcerer/?referralCode=DBACD59AB7B16D4707CD

Statistics with StatCrunch Course
udemy.com/course/statistics-with-statcrunch-by-the-math-sorcerer/?referralCode=69B27AF43D10924FF63B