Math & Nature   Water striders ◦ Given  Dimensions of all body segments  Density of the water strider body = 0.0012 g/mm3 2) Find the body mass of the water strider.
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PLACEMENT HOW? Placement Placement Test Test Transfer Transfer Credits Credits SAT SAT or or ACT ACT Scores Scores High High School School AP AP Scores Scores (Mathematics) (Mathematics) WHAT TO DO? Take Take placement placement test test on on any any campus campus at at Testing Testing Center. Center. Accuplacer Accuplacer MATH MATH can can be be taken taken twice. twice. Students Students who who wish wish higher higher placement placement must must then then “appeal”. “appeal”. Appeal Appeal is is request to take a pencil-and-paper type test on material from the course they request to take a pencil-and-paper type test on material from the course they placed placed into. into. Bring Bring transcript transcript showing showing general general education education math math credits credits from from another another college college or or university university to to CCBC CCBC for for evaluation. evaluation. If If completed completed in in Maryland, Maryland, the the highest highest level level developmental math course, Intermediate Algebra can be used for placement. developmental math course, Intermediate Algebra can be used for placement. Placement Placement by by SAT SAT MATH MATH score score of of 500 500 or or higher higher (or (or by by ACT ACT MATH MATH score score 21 21 or or higher) places the student into an entry-level general education math course higher) places the student into an entry-level general education math course (MATH (MATH 111, 111, 125, 125, 131/2/3, 131/2/3, 135, 135, 163). 163). For For higher higher placement, placement, the the student student must must take take Accuplacer MATH. MATH. Accuplacer Students Students with with documentation documentation of of AP AP math math scores scores of of 3, 3, 4, 4, or or 5 5 from from high high school school can can be awarded college credit and placement according to this chart. be awarded college credit and placement according to this chart.
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Core Math MATH 95 MATH 96 MATH 126 MATH 176 MATH 96 MATH 126 MATH 176 MATH 126E MATH 176 Recommendation: If you start in Math 95 or Math 96 take summer classes to stay on track! MATH 126 MATH 176 MATH 181 or Math 182 will meet the College of Business math requirement. MATH 176 Pg. 12 of your Advising Manual
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Rounding Methods Examples Math.ceil(2.1) returns 3.0 Math.ceil(2.0) returns 2.0 Math.ceil(-2.0) returns –2.0 Math.ceil(-2.1) returns -2.0 Math.floor(2.1) returns 2.0 Math.floor(2.0) returns 2.0 Math.floor(-2.0) returns –2.0 Math.floor(-2.1) returns -3.0 Math.rint(2.1) returns 2.0 Math.rint(2.0) returns 2.0 Math.rint(-2.0) returns –2.0 Math.rint(-2.1) returns -2.0 Math.rint(2.5) returns 2.0 Math.rint(-2.5) returns -2.0 Math.round(2.6f) returns 3 Math.round(2.0) returns 2 Math.round(-2.0f) returns -2 Math.round(-2.6) returns -3 8
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Micelles form when using Soap • Why can’t water just clean everything? Why use soap? • Surface tension keeps water from easily spreading across a surface • Surface tension must be weakened in order to get water to spread across an oily surface. Water is not attracted to oil because oil is a nonpolar substance • Soap can weaken surface tension because soap is a surfactant • Surfactant: SURface ACTive agents (they reduce surface tension of water) • Surfactants inhibit the intermolecular attractions between water molecules, and this IMF attraction is what causes strong surface tension in water. • The soap allows the water to flow more smoothly which allow micelles spread across an oily surface to collect grime to be washed away.
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Math & Nature   Water striders ◦ Given 3) Find the ratio of body weight to surface tension force for the water strider.
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Math & Nature   Water striders ◦ Given  3) Find the ratio of body weight to surface tension force for the water strider.
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Joint Factory Revolute Joint Factory 1.      CreateRevoluteJoint(PhysicsSimulator physicsSimulator, Body body1, Body body2, Vector2 initialAnchorPosition) 2.      CreateRevoluteJoint(Body body1, Body body2, Vector2 initialAnchorPosition)   Pin Joint Factory 1.      CreatePinJoint(PhysicsSimulator physicsSimulator, Body body1, Vector2 anchor1, Body body2, Vector2 anchor2) 2.      CreatePinJoint(Body body1, Vector2 anchor1, Body body2, Vector2 anchor2)   Slider Joint Factory 1.      CreateSliderJoint(PhysicsSimulator physicsSimulator, Body body1, Vector2 anchor1, Body body2, Vector2 anchor2, float min, float max) 2.      CreateSliderJoint(Body body1, Vector2 anchor1, Body body2, Vector2 anchor2, float min, float max)   Angle Joint Factory 1.      CreateAngleJoint(PhysicsSimulator physicsSimulator, Body body1, Body body2) 2.      CreateAngleJoint(Body body1, Body body2) 3.      CreateAngleJoint(PhysicsSimulator physicsSimulator, Body body1, Body body2, float softness, float biasFactor) 4.      CreateAngleJoint(Body body1, Body body2, float softness, float biasFactor)   Angle Limit Joint Factory 1.      CreateAngleLimitJoint (PhysicsSimulator physicsSimulator, Body body1, Body body2, float min, float max) 2.      CreateAngleLimitJoint (Body body1, Body body2, float min, float max)  
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                  ACT SCORES PLACEMENT English 18 - 27 Engl 1010 Math 19 - 27 Math 1020/1810/1100 (check major) Math 28 + Credit given for Math 1020 SAT SCORES PLACEMENT Verbal 450 – 620 Engl 1010 Verbal 630 - 710 Credit given for Engl 1010 Verbal 720 + Credit given for Engl 1010 & 1020  Math 460 - 620 Math 1020/1810/1100 (check major)  Math 630 + Credit given for Math 1020 COMPASS SCORES PLACEMENT Writing 68 + Engl 1010  Pre-Algebra 56 - 94 Math 1020 Algebra 36 – 88 Math 1020 College Algebra 30 - 66 Math 1020  Pre-Algebra 95+ Credit for Math 1020 Algebra 89+ Credit for Math 1020 College Algebra 67+ Credit for Math 1020
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Topological Sort A topological sort of an acyclic directed graph orders the vertices so that if there is a path from vertex u to vertex v, then vertex v appears after vertex u MATH 120 One topological sort in the ordering. of the course prerequisite graph at left: MATH 150 MATH 224 ECE 282 CS 111 CS 150 ECE 381 CS 111, MATH MATH 152 120, CS 140, MATH 423 MATH 125, CS ECE 482 MATH 250 150, MATH 224, CS 234 CS 240 STAT 380 CS 234, CS 240, ECE 483 MATH 321 ECE 282, CS 312, CS 312 CS 321 CS 325, MATH CS 325 150, MATH 152, CS 482 STAT 380, CS 321, CS 340 MATH 250, MATH CS 382 CS 434 321, CS 314, CS 314 MATH 423, CS CS 330 340, CS 425, ECE CS 425 381, CS 434, ECE CS 447 482, CS 330, CS CS 423 382, CS 423, CS CS 499 CS 438 CS 456 438, CS 454, CS 447, CS 499, CS CS 454 482, CS 456, ECE MATH 125 CS 340 CS 140 Page 5
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Math Study Skills Inventory Rate your achievement of the following statements by placing a 3 for almost always, 2 for sometimes, and 1 for almost never. If you have never even thought about doing what the statement says, put a 0. Selecting a math class _______ 1. I schedule my math class at a time when I am mentally sharp. _______ 2. When I register for a math class, I choose the best instructor for me. _______ 3. If I have a choice, I select a math class that meets three or four days a week instead of one or two. _______ 4. I schedule the next math class as soon as possible after I have completed the current course. _______ 5. I am sure that I have signed up for the correct level math course.  Time and place for studying math _______ 6. I study math every day. _______ 7. I try to get my math homework immediately after math class. _______ 8. I have a specific time to study math. _______ 9. I have a specific place with few distractions to study math. ______ 10. I seek help with my math homework in the lab/tutoring center. ______ 11. I am careful to keep up to date with math homework. ______ 12. I study math at least 8 to 10 hours a week. 
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Math questions • Evaluate the following expressions: – – – – – – – Math.abs(-1.23) Math.pow(3, 2) Math.pow(10, -2) Math.sqrt(121.0) - Math.sqrt(256.0) Math.round(Math.PI) + Math.round(Math.E) Math.ceil(6.022) + Math.floor(15.9994) Math.abs(Math.min(-3, -5)) • Math.max and Math.min can be used to bound numbers. Consider an int variable named age. – What statement would replace negative ages with 0? – What statement would cap the maximum age to 40? 27
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