WORKING FOR AN INNOVATION DEAL USA IN THE 21ST CENTURY
Trabajando por un Trato de Inovación EEUU en el Siglo XXI
为实现21世纪美国创新之政而奋斗
Mathematics Pre-requisites for
Undergraduate Engineering Programs
This page is reserved for online publications of research data, articles, and other documents, peer-reviewed or not, as well as any constructive criticism, comments and advice, related to the determination of K-12 age-possible topics in engineering materials, as an instrument for the implementation of the ideas explored in the vision paper titled Proposed Model for a Streamlined, Cohesive, and Optimized K-12 STEM Curriculum with a Focus on Engineering.
Calculus Early Transcendental, 8th Edition, written by Howard Anto, Irl Bivens, and Steven Davis, and published by Wiley, 1277 pages long, which is one of the most popular calculus textbooks and has been used at Los Angeles Trade-Technical College and many other places, for calculus 1, 2, and 3 courses. Chapter 7 (Applications of the Definite Integral in Geometry, Science and Engineering, pages 442-509) is specifically intended for calculations of areas between two curves, volumes by slicing with disks, washer and cylindrical shells methods, and areas of surface of revolutions
General Chemistry, written by Darrell D. Ebbing and Steven D. Gammon, and published by Houghton Mifflin Company (ISBN 0-618-39941-0), 1125 pages long, is one of the most popular textbooks for a college level chemistry course, and has been used at Los Angeles Trade-Technical College and may other places. After a careful and thorough examination of all pages in this textbook, it has been concluded that no calculus concept or skills are needed for reading and home work assignments; and the only pre-calculus level mathematics skills needed are [four operations], [power], [root], [fraction], [scientific notation], [percentage], [measurement], (length, width, depth], [inequality], [log], [natural log], [ratio], and [graph]
|
General Chemistry, written by Darrell D. Ebbing and Steven D. Gammon, Volumes 1 and 2, 1608 total pages long, are one of the best sets of textbooks for calculus-based college Physics 1 (Mechanics of Solids), 2 (Mechanics of Fluids, Heat and Sound), 3 (Electricity andMagnetism) and 4 (Optics and Modern Physics); and have been used at Los Angeles Trade-Technical College, East Los Angeles College and many other places. In the East Los Angeles College Catalog 2011-2013 (pages 235-236), Mathematics 261 (Calculus 1) is listed as a Pre-requite for Physics 1, Mathematics 262 (Calculus 2) is listed as a Co-requisite for Physics 2, 3, and 4, and Mathematics 263 (Calculus 3) is listed as an Advisory for Physics 3 and 4. After a careful and thorough examination of all pages in this set of textbooks, it has been concluded that
(1) The pre-calculus level mathematics concepts and skills needed for reading and completion of home work assignments include [four operations], [fraction], [scientific notation], [measurement] (length, width, depth and angle), [systems of units], [power]. [root], [limit], [summation], [trigonometric functions], [trigonometric identities], [area] (rectangle, circle, triangle, etc.), [surface area] and [volume] (sphere, cylinder, rectangular box], [radian measure], [simultaneous linear equations], [Pythagorean Theorem], [absolute value], [log], [natural log], [inequality], [infinity], [vector], [unit vector], and [ratio]. (2) The most frequently used calculus skills are {first integral], [first derivative], [cross product], [dot product], and [second derivative]. (3) [first partial derivative] and [second partial derivative] are used in Section 16.2 Sinusoidal Waves - Sinusoidal Waves on Strings (page 495), 16.6 The Linear Wave Equation (page 503), 25.4 Obtaining the Value of the Electrical Field from the Electrical Potential (page 773), 34.2 Plane Electromagnetic Waves (pages 1070 and 1073), and 42.4 The Quantum Model of the Hydrogen Atom (page 1362). (4) [Integration over a closed path] is used in Section 22.6 Entropy (page 685), 24.1 Electric Flux (pages 742), 24.2 Gauss's Law (pages 742-745), 24.4 Conductors in Electrostatic Equilibrium (pages 751-754), 30.1 The Biot-Savart Law (page 931), 30.2 The Magnetic Force Between Two Parallel Conductors (pages 934-938), 30.4 The Magnetic Field of a Solenoid (pages 939 and 941-943), 31.4 Induced emf and Electric Fields (page 981), 31.7 Maxwell's Equations (pages 988-990), 34.1 Maxwell's Equations and Hertz's Discoveries (pages 1067 and 1068), 34.2 Plane Electromagnetic Waves (pages 1069, 1072, and 1073), and 43.8 Superconductivity (page 1430). An alternative set of calculus-based physics courses offered at East L:os Angeles College are Physics 21 and 22 (General Physics I with Calculus and General Physics II with Calculus) require only Mathematics 261 (Calculus 1) as a Pre-requisite in mathematics. |
RESEARCH OUTCOMES Navigator:
(1) Engineering Foundation (Introduction to STEAM for K12, Statics for K12, Dynamics for K12, Strength of Materials for K12, Engineering Materials for K12, Statistics& Probabilities for K12, and Engineering Economics for K12);
(2) Mechanical Engineering (Mechanical Design for K12, Fluid Mechanics for K12, Aerodynamics for K12, Heat Transfer for K12, Thermodynamics for K12);
(3) Engineering Technology (CADD& Product Design for K12, Manufacturing Processes for K12, Engineering Programming for K12);
(4) Civil Engineering (Introduction to Computerized Civil Engineering Design for K12, Introduction to Global Positioning System & Land Surveying for K12, Introduction to Structural Design for K12);
(5) Electrical Engineering (Introduction to Electrical & Electronics Devices for K12, Introduction to Circuit Analysis & Simulation for K12, Introduction to Robotics & Programming for K12);
(6) Capstone Engineering Design and Research;
(7) Available K12 STEAM Learning Resources;
(8) Mathematics Pre-requisites for Undergraduate Engineering Programs;
(9) Recommended Artistic Skills for STEM Professionals.
(1) Engineering Foundation (Introduction to STEAM for K12, Statics for K12, Dynamics for K12, Strength of Materials for K12, Engineering Materials for K12, Statistics& Probabilities for K12, and Engineering Economics for K12);
(2) Mechanical Engineering (Mechanical Design for K12, Fluid Mechanics for K12, Aerodynamics for K12, Heat Transfer for K12, Thermodynamics for K12);
(3) Engineering Technology (CADD& Product Design for K12, Manufacturing Processes for K12, Engineering Programming for K12);
(4) Civil Engineering (Introduction to Computerized Civil Engineering Design for K12, Introduction to Global Positioning System & Land Surveying for K12, Introduction to Structural Design for K12);
(5) Electrical Engineering (Introduction to Electrical & Electronics Devices for K12, Introduction to Circuit Analysis & Simulation for K12, Introduction to Robotics & Programming for K12);
(6) Capstone Engineering Design and Research;
(7) Available K12 STEAM Learning Resources;
(8) Mathematics Pre-requisites for Undergraduate Engineering Programs;
(9) Recommended Artistic Skills for STEM Professionals.
Freedom and opportunities! You will have the right to a high quality K12 science, technology, engineering, arts and mathematics (STEAM) education!
¡Libertad y oportunitades! ¡Usted va a tener el derecho a una K12 educación de alta calidad en ciencia, tecnología, ingenería, artes y matematica (CTIAM)!
自由和机会!你们将拥有接受高质量的、贯穿幼儿园到中小学阶段的科学、技术、工程、艺术和数学教育的权利!
¡Libertad y oportunitades! ¡Usted va a tener el derecho a una K12 educación de alta calidad en ciencia, tecnología, ingenería, artes y matematica (CTIAM)!
自由和机会!你们将拥有接受高质量的、贯穿幼儿园到中小学阶段的科学、技术、工程、艺术和数学教育的权利!