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Full handwritten notes (in German, 91MB) were kindly provided by Simon Vonlanthen.
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Week  Summary of Recitation Session  Redacted or Full Solutions 
I  Some Reminders from Analysis 2 and Linear Algebra  Redacted Solutions of HW1 
II  Differential Geometry Perspective on Curvilinear Coordinates, Official Soln of HW1Q2  Redacted Solutions of HW2 
III  None  Redacted Solutions of HW3 
IV  None  Redacted Solutions of HW4 
V  None  Redacted Solutions of HW5 
VI  There will be a note about the finite element method to solve the Navier equation.  Not yet 
VII  None  Hints for HW7 
Additional Material:
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As for textbooks (in order of relevance to you):
Please note that this material is provided as is with no guarantees for correctness. For success in the exam the official solutions must be consulted as the ultimate source.
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Location:  207 Mathematics Building 
Time:  Mondays and Wednesdays 4:10pm5:25pm (runs through January 23rd until May 6th 2019 for 28 sessions) 
Recitation Sessions  Fridays 2pm3pm in Hamilton 602 run by Donghan Kim. First session on Feb 1st, 2019. Attendance not mandatory but warmly recommended. 
Office hours:  Tuesdays 6pm8pm and Wednesdays 5:30pm7:30pm (or by appointment) in 626 Mathematics (starting Jan 29th) 
Teaching Assistants: 

TAs office hours:  Will be held in the help room (502 Milstein Center) at the following times: – Mat: Fridays 10am12pm. – Donghan: Thursdays 4pm6pm. – Ziad: Tuesdays 4pm6pm. 
Misc. information:  Calculus @ Columbia 
Getting help:  Your best bet is the officehours, and then the help room. If you prefer impersonal communication, you may use the Piazza website to pose questions (even anonymously, if you're worried). TAs will monitor this forum regularly. 
Textbook:  Lecture notes are available and will be updated on a weekly basis. I will do my best to follow the the Columbia Calculus curriculum so as to make sure you can go on to Calculus II smoothly. I will use material from various textbooks, some of which include: Spivak, Apostol, Courant and sometimes Stewart just to set the timeline (since this is what Columbia's curriculum is based upon). 
Homework assignments:  Assignments will appear on this website 
Grading:  There will be two midterms during lecture time (see below for dates) and one final (after the last lecture). 
Date  Week  Lecture #  Contents  Special events 
Wed Jan 23  I  1  Sets  First class 
Mon Jan 28  II  2  Sets and functions  HW1 published (note typos corrected!); HW1 solutions published 
Wed Jan 30  II  3  Functions  
Mon Feb 4  III  4  Limits of sequences  HW2 published ; HW2 solutions published 
Wed Feb 6  III  5  Limits of sequences  
Mon Feb 11  IV  6  Limits of functions  HW3 published ; HW3 solutions published 
Wed Feb 13  IV  7  Limits of functions and continuity  Practice Midterm 1 published Practice Midterm 1 Detailed Solutions published (note: After careful review and getting some feedback, I have decided that the actual midterm will be of the same format, but contain less questions on each part, and also that partial credit will be given to your calculation (contrary to the instructions in the practice midterm as it stands now) in case your answer is incorrect. So your explanation could help you salvage points if your final answer is wrong. As before, the material for the midterm is everything in the lecture notes from the beginning up to and not including derivatives). 
Mon Feb 18  V  8  Review  
Wed Feb 20  V  9  Midterm I  Midterm 1 and Midterm 1 solutions 
Mon Feb 25  VI  10  Derivatives 3  HW4 published ; HW4 solutions published 
Wed Feb 27  VI  11  Derivatives 4  
Mon Mar 4  VII  12  Derivatives 5  HW5 published (typo fixed) HW5 Solutions published 
Wed Mar 6  VII  13  Derivatives 6  
Mon Mar 11  VIII  14  Derivatives 7  HW6 published ; HW6 Solutions published 
Wed Mar 13  VIII  15  Derivatives 8  
Mon Mar 25  IX  16  Review  
Wed Mar 27  IX  17  Midterm 1.5  Practice Midterm 1.5 published ; Practice Midterm 1.5 Solutions published ; HW7 published HW7 Solutions published ; Midterm 1.5 published ; Midterm 1.5 Solutions published ; 
Mon Apr 1  X  18  Integrals 1  HW8 published ; HW8 Solutions published 
Wed Apr 3  X  19  Integrals 2  
Mon Apr 8  XI  20  Integrals 3  HW9 published ; HW9 Solutions published 
Wed Apr 10  XI  21  Integration: Fundamental theorem of calculus  
Mon Apr 15  XII  22  Applications of derivatives: extremal points  HW10 published ; HW10 Solutions published ; Practice Midterm 2 published ; Practice Midterm 2 Solutions published 
Wed Apr 17  XII  23  Applications of derivatives: Convexity  
Mon Apr 22  XIII  24  Review of practice midterm 2  
Wed Apr 24  XIII  25  Midterm 2  Midterm 2 published ; Midterm 2 Solutions published 
Mon Apr 29  XIV  26  Review towards final  HW11 published ; HW11 Solutions published 
Wed May 1  XIV  27  Review towards final  
Mon May 6  XV  28  Review towards final  Practice Final published ; Practice Final Solutions published ; HW12 published ; HW12 Solutions published 
Mon May 13 4:10pm  XV  *  Final published and Final Solutions published . 