This document outlines the syllabus for an AP Calculus BC course. It includes 10 chapters that cover prerequisites for calculus, limits, derivatives, applications of derivatives, integrals, differential equations, applications of integrals, sequences, L'Hopital's rule, improper integrals, and infinite series. It describes the textbook used and topics covered in each chapter. It also outlines teaching strategies such as daily homework, quizzes, tests, and intensive exam preparation to help students succeed on the AP exam.
A short introduction presentation about the Basics of Finite Element Analysis. This presentation mainly represents the applications of FEA in the real time world.
Parallel Genetic Algorithms for University Scheduling ProblemIJECEIAES
University scheduling timetabling problem, falls into NP hard problems. Re-searchers have tried with many techniques to find the most suitable and fastest way for solving the problem. With the emergence of multi-core systems, the parallel implementation was considered for finding the solution. Our approaches attempt to combine several techniques in two algorithms: coarse grained algorithm and multi thread tournament algorithm. The results obtained from two algorithms are compared, using an algorithm evaluation function. Considering execution time, the coarse grained algorithm performed twice better than the multi thread algorithm.
Building Pre-algebra Skills through Project Based Learningccpc
Khanh Bui
Associate for Curriculum Development
ConnectEd: The California Center for College and Career
Berkeley, CA
Pier Sun Ho
Senior Associate for Curriculum Development
ConnectEd: The California Center for College and Career
Berkeley, CA
This highly interactive session introduces participants to a set of engineering- and technology-related, project-based pre-algebra units. They are suitable for a summer school program, after-school supplementary instruction, or a middle-school pre-algebra class. Participants complete a modified activity that illustrates actual classroom instruction.
Review of "Survey Research Methods & Design in Psychology"James Neill
Reviews the 150 hour, third year psychology unit which examined survey research methods, with an emphasis on the second-half of the unit on MLR, ANOVA, power, and effect size.
A short introduction presentation about the Basics of Finite Element Analysis. This presentation mainly represents the applications of FEA in the real time world.
Parallel Genetic Algorithms for University Scheduling ProblemIJECEIAES
University scheduling timetabling problem, falls into NP hard problems. Re-searchers have tried with many techniques to find the most suitable and fastest way for solving the problem. With the emergence of multi-core systems, the parallel implementation was considered for finding the solution. Our approaches attempt to combine several techniques in two algorithms: coarse grained algorithm and multi thread tournament algorithm. The results obtained from two algorithms are compared, using an algorithm evaluation function. Considering execution time, the coarse grained algorithm performed twice better than the multi thread algorithm.
Building Pre-algebra Skills through Project Based Learningccpc
Khanh Bui
Associate for Curriculum Development
ConnectEd: The California Center for College and Career
Berkeley, CA
Pier Sun Ho
Senior Associate for Curriculum Development
ConnectEd: The California Center for College and Career
Berkeley, CA
This highly interactive session introduces participants to a set of engineering- and technology-related, project-based pre-algebra units. They are suitable for a summer school program, after-school supplementary instruction, or a middle-school pre-algebra class. Participants complete a modified activity that illustrates actual classroom instruction.
Review of "Survey Research Methods & Design in Psychology"James Neill
Reviews the 150 hour, third year psychology unit which examined survey research methods, with an emphasis on the second-half of the unit on MLR, ANOVA, power, and effect size.
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
Honest Reviews of Tim Han LMA Course Program.pptxtimhan337
Personal development courses are widely available today, with each one promising life-changing outcomes. Tim Han’s Life Mastery Achievers (LMA) Course has drawn a lot of interest. In addition to offering my frank assessment of Success Insider’s LMA Course, this piece examines the course’s effects via a variety of Tim Han LMA course reviews and Success Insider comments.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
1. AP Calculus BC
Syllabus
Textbook:
Finney, Ross L., et al. Calculus: Graphical, Numerical, Algebraic. Boston,
Massachusetts: Pearson Prentice Hall, 2007, 3rd Edition.
Chapter 1: Prerequisites for Calculus (5 days)
Symbols in Calculus
Regression Analysis
Intervals, Boundaries, Domain and Range
Even/Odd functions
Absolute Value functions
Growth/Decay/Exponential functions
Inverses and Logarithmic functions
Parametric equations
Chapter 2: Limits and Continuity (7 days)
Average and Instantaneous Speed
Definition of limits
Properties of limits
One-sided and Two-sided limits
Sandwich/Squeeze Theorem
Asymptotes
End behavior models
Continuity/Discontinuity
Intermediate Value Theorem for Continuous functions
Tangent to a curve
Slope of a curve
Normal to a curve
Chapter 3: Derivatives (20 days)
Definition of derivative
Notation
Relationships between graphs of f and f’
Graphing derivatives
One-sided derivatives
Differentiability
Intermediate Value Theorem
Rules for differentiation
Horizontal tangents
Product and Quotient rules
Higher order derivatives
Distance/Velocity/Acceleration
Derivatives of Trigonometric functions
2. Chain rule
Implicit Differentiation
Derivatives of Inverse Trigonometric functions
Derivatives of Exponential and Logarithmic functions
Chapter 4: Applications of Derivatives (14 days)
Extreme Values of functions
Absolute vs. Local
Extreme Value Theorem
Critical points
Mean Value Theorem
Increasing/Decreasing functions
First and Second derivative tests
Concavity/Points of inflection
Optimization
Linear Approximations
Newton’s Method
Differentials
Related rates
Chapter 5: The Definite Integral (15 days)
Estimating with Finite Sums
Rectangular Approximation
Riemann Sums
Definite Integrals
Integration
Area under a curve
Mean Value Theorem for Definite Integrals
Fundamental Theorem of Calculus
The Trapezoid Rule
Chapter 6: Differential Equations and Mathematical Modeling (19
days)
Slope fields
Euler’s Method
Antidifferentiation by Substitution
Leibniz Notation
Substitution in Definite and Indefinite Integrals
Integration by Parts
Tabular Integration
Exponential Growth and Decay
Newton’s Law of Cooling
Logistic Growth
3. Chapter 7: Applications of Definite Integrals (14 days)
Net Change
Area
Volume
Cross Sections
Lengths of Curves
Sine waves
Vertical Tangents, Corners and Cusps
Fluid Force and Fluid Pressure
Normal Probabilities
Chapter 8: Sequences, L’Hôpital’s Rule, and Improper Integrals (11
days)
Arithmetic and Geometric sequences
Graphing sequences and limits
Sandwich Theorem for sequences
Absolute Value Theorem
L’Hôpital’s Rule
One-sided limits, Indeterminate forms
Rates of Growth
Improper Integrals
Partial Fractions
Integrands and Infinite limits
Integrands and Infinite discontinuities
Tests for convergence/divergence
Chapter 9: Infinite Series (19 days)
Power series
Infinite series
Differentiation and Integration
Taylor Series
Maclaurin and Taylor Series
Taylor’s Theorem
Remainder Estimation Theorem
Euler’s formula
Tests for Convergence/Divergence
Ratio Test
Radius and Intervals of Convergence
Chapter 10: Parametric, Vector, and Polar Functions (13 days)
Parametric functions
Slope and Concavity
Cycloids
Vectors
4. Motion
Velocity/Acceleration/Speed
Polar Coordinates
Polar Graphing
Area Enclosed by Polar Curves
Teaching Strategies:
Many students will enter this class with a basic knowledge of the uses of
the graphing calculator. Throughout the course students will fine tune
their calculator skills using it as a tool to investigate, solve and support
their work.
Students will be assigned homework daily which will include
opportunities to practice with their graphing calculator, as well as pencil
and paper problems instigating verbal support of solutions, and
opportunities to make connections using both methods. Students will
practice regularly for the AP exam with sample tests taken from previous
AP exams. This practice may be in the form of in class group or
individual work as well as take home in addition to or in place of daily
homework.
Quizzes will be given once or twice a week and cover the most recent
material being taught as well as small pieces of review from previous
chapters. Tests are taken at the end of each chapter, and also include
questions pertaining to that chapter as well as review from previous
chapters and practice AP questions. At the end of each term (quarter)
students will take a term exam covering the material from the current
term as well as previous terms. Questions on quizzes and tests will be a
combination of multiple choice and free-response and will also be broken
into both calculator and noncalculator sections.
It is important for students to support their work verbally, so they will be
asked to present a topic once each semester. The class will be taught
using SMART Board technology which will allow the use of alternate
types of presentation and a variety of instructional tools both for the
instructor and the students. Students will also be able to refer back to
the daily lessons from their home computers.
Three weeks before the AP exam, students will do intense preparation for
the test including group collaboration and individual more structured
practice. The importance of complete solutions and clear verbal
explanations supporting the solutions will be stressed.